Formulas, Computations and Odds
Keno can be played in an almost endless variety of ways. Most commonly, a series of 80 numbers are available to choose from and the operator will periodically use a random selection method to pick 20 of them. The bettor determines what he is going to play by indicating the quantity of numbers he is going to choose via a playslip and submits it to the operator with his choices and bet. Generally, the bettor chooses a game of from 1 to 20 numbers (commonly referred to as "spots") and plays that particular game. Each game is separate, but is tied to the same 20 out of 80 numbers.
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
To put this number in perspective, most casinos and states refresh a Keno game every five minutes. Were one to do this, and if a game ran 24 hours a day, one could pick out 20 numbers per game and not duplicate a sequence for approximately 33 trillion years.
* * * * * * * * * * * * * * *
A less common variation is the "Catch-22" table, used by the Michigan Lottery's Daily Drawing game and some video Keno machines, where 22 numbers are selected from an 80 number board.
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.
* * * * * * * * * * * * * * *
Another less common variation is the "French" table, used by some eastern Canadian and overseas games, where 20 numbers are selected from a 70 number board.
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,658,000.
* * * * * * * * * * * * * * *
A variation I discovered as a result of an inquiry is the Israel National Lottery's Pais 777 game, where 17 numbers are selected from a 70 number board. It is designed to take advantage of the "Lucky 7" syndrome (7-17-70) and is played as a 7-spot game only.
Formula for determining total possibilities - (70!/53!)/(17!) = 7,077,932,561,061,632.
* * * * * * * * * * * * * * *
Another variation discovered as a result of perusing a lottery forum is the Morocco National Lottery's Le Keno game, wherein 10 numbers are drawn from a field of 50. 3-spot through 7-spot games are offered. Payouts appear to be pari-mutuel in most instances.
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.
* * * * * * * * * * * * * * *
Yet another variation, this one discovered as a result of an odds inquiry, is a game wherein 10 numbers are drawn from a field of 49. I have no idea where this game is played. The payouts for this game are unknown.
Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.
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Pennsylvania had two Keno variations called Super 7 at one time. Both were 7 Spot games only. In no particular order, one drew 11 balls from a field of 80; the other drew 10 balls from a field of 74. No information for these games is currently posted on this page.
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Another variation I discovered as a result of an inquiry is India's Keno Plus game, where 21 balls are drawn from a field of 80.
No information is currently posted on this or the payouts page, but I have the needed information when I get the time.
Formula for determining total possibilities - (80!/59!)/(21!) = 10,100,903,263,463,418,880.
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A recent discovery is (was) Colorado's Keno game, which drew 20 numbers from a field of 60. It was operated as a daily draw game from about 1991 to about 1997. 20 numbers were selected from a filed of 60, and the game was 10 Spot only, according to my source of information. I have the historic payout payout data and will add this game as time permits.Formula for determining total possibilities - (60!/40!)/(20!) = 4,191,844,505,805,500.
* * * * * * * * * * * * * * *
Note: In games where the field from which the draw is to be conducted is an odd number no top/bottom games will be listed. Edge games will be computed from the most likely board layout.
Disclaimer: Use this page for gaming purposes at your own risk - this is not meant to suggest any combination of bets one should place. Although extreme care has been taken to assure complete accuracy in the contents below, it would be almost inevitable that some typoarthouseaphical errors could appear. Should you find any discrepancy between the formulas, the results and the odds, please let me know. I shall remain totally responsible for the contents.
For the purpose of mathematical calculations, 0! (factorial 0) has the real value 1, as does 1! (factorial 1). An anomaly.
Contributors: Andy Lavelle, John Nixon, CASH Only. Thank you.
Keno Computation Tables - 20 Numbers Drawn From an 80-Number Board
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
1 Spot
Formula for determining total possibilities - (80!/79!)/(1!) = 80.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/59!)/(1!)) | 60 | 1.33 |
| 1 | ((20!/19!)/(1!))x((60!/60!)/(0!)) | 20 | 4.00 |
2 Spot
Formula for determining total possibilities - (80!/78!)/(2!) = 3,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/58!)/(2!)) | 1,770 | 1.79 |
| 1 | ((20!/19!)/(1!))x((60!/59!)/(1!)) | 1,200 | 2.63 |
| 2 | ((20!/18!)/(2!))x((60!/60!)/(0!)) | 190 | 16.63 |
3 Spot
Formula for determining total possibilities - (80!/77!)/(3!) = 82,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/57!)/(3!)) | 34,220 | 2.40 |
| 1 | ((20!/19!)/(1!))x((60!/58!)/(2!)) | 35,400 | 2.32 |
| 2 | ((20!/18!)/(2!))x((60!/59!)/(1!)) | 11,400 | 7.21 |
| 3 | ((20!/17!)/(3!))x((60!/60!)/(0!)) | 1,140 | 72.07 |
4 Spot
Formula for determining total possibilities - (80!/76!)/(4!) = 1,581,580.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/56!)/(4!)) | 487,635 | 3.24 |
| 1 | ((20!/19!)/(1!))x((60!/57!)/(3!)) | 684,400 | 2.31 |
| 2 | ((20!/18!)/(2!))x((60!/58!)/(2!)) | 336,300 | 4.70 |
| 3 | ((20!/17!)/(3!))x((60!/59!)/(1!)) | 68,400 | 23.12 |
| 4 | ((20!/16!)/(4!))x((60!/60!)/(0!)) | 4,845 | 326.44 |
5 Spot
Formula for determining total possibilities - (80!/75!)/(5!) = 24,040,016.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/55!)/(5!)) | 5,461,512 | 4.40 |
| 1 | ((20!/19!)/(1!))x((60!/56!)/(4!)) | 9,752,700 | 2.46 |
| 2 | ((20!/18!)/(2!))x((60!/57!)/(3!)) | 6,501,800 | 3.70 |
| 3 | ((20!/17!)/(3!))x((60!/58!)/(2!)) | 2,017,800 | 11.91 |
| 4 | ((20!/16!)/(4!))x((60!/59!)/(1!)) | 290,700 | 82.70 |
| 5 | ((20!/15!)/(5!))x((60!/60!)/(0!)) | 15,504 | 1,550.57 |
6 Spot
Formula for determining total possibilities - (80!/74!)/(6!) = 300,500,200.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/54!)/(6!)) | 50,063,860 | 6.00 |
| 1 | ((20!/19!)/(1!))x((60!/55!)/(5!)) | 109,230,240 | 2.75 |
| 2 | ((20!/18!)/(2!))x((60!/56!)/(4!)) | 92,650,650 | 3.24 |
| 3 | ((20!/17!)/(3!))x((60!/57!)/(3!)) | 39,010,800 | 7.70 |
| 4 | ((20!/16!)/(4!))x((60!/58!)/(2!)) | 8,575,650 | 35.04 |
| 5 | ((20!/15!)/(5!))x((60!/59!)/(1!)) | 930,240 | 323.04 |
| 6 | ((20!/14!)/(6!))x((60!/60!)/(0!)) | 38,760 | 7,752.84 |
7 Spot
Formula for determining total possibilities - (80!/73!)/(7!) = 3,176,716,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/53!)/(7!)) | 386,206,920 | 8.23 |
| 1 | ((20!/19!)/(1!))x((60!/54!)/(6!)) | 1,001,277,200 | 3.17 |
| 2 | ((20!/18!)/(2!))x((60!/55!)/(5!)) | 1,037,687,280 | 3.06 |
| 3 | ((20!/17!)/(3!))x((60!/56!)/(4!)) | 555,903,900 | 5.71 |
| 4 | ((20!/16!)/(4!))x((60!/57!)/(3!)) | 165,795,900 | 19.16 |
| 5 | ((20!/15!)/(5!))x((60!/58!)/(2!)) | 27,442,080 | 115.76 |
| 6 | ((20!/14!)/(6!))x((60!/59!)/(1!)) | 2,325,600 | 1,365.98 |
| 7 | ((20!/13!)/(7!))x((60!/60!)/(0!)) | 77,520 | 40,979.31 |
8 Spot
Formula for determining total possibilities - (80!/72!)/(8!) = 28,987,537,150.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/52!)/(8!)) | 2,558,620,845 | 11.33 |
| 1 | ((20!/19!)/(1!))x((60!/53!)/(7!)) | 7,724,138,400 | 3.75 |
| 2 | ((20!/18!)/(2!))x((60!/54!)/(6!)) | 9,512,133,400 | 3.05 |
| 3 | ((20!/17!)/(3!))x((60!/55!)/(5!)) | 6,226,123,680 | 4.66 |
| 4 | ((20!/16!)/(4!))x((60!/56!)/(4!)) | 2,362,591,575 | 12.27 |
| 5 | ((20!/15!)/(5!))x((60!/57!)/(3!)) | 530,546,880 | 54.64 |
| 6 | ((20!/14!)/(6!))x((60!/58!)/(2!)) | 68,605,200 | 422.53 |
| 7 | ((20!/13!)/(7!))x((60!/59!)/(1!)) | 4,651,200 | 6,232.27 |
| 8 | ((20!/12!)/(8!))x((60!/60!)/(0!)) | 125,970 | 230,114.61 |
9 Spot
Formula for determining total possibilities - (80!/71!)/(9!) = 231,900,297,200.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/51!)/(9!)) | 14,783,142,660 | 15.69 |
| 1 | ((20!/19!)/(1!))x((60!/52!)/(8!)) | 51,172,416,900 | 4.53 |
| 2 | ((20!/18!)/(2!))x((60!/53!)/(7!)) | 73,379,314,800 | 3.16 |
| 3 | ((20!/17!)/(3!))x((60!/54!)/(6!)) | 57,072,800,400 | 4.06 |
| 4 | ((20!/16!)/(4!))x((60!/55!)/(5!)) | 26,461,025,640 | 8.76 |
| 5 | ((20!/15!)/(5!))x((60!/56!)/(4!)) | 7,560,293,040 | 30.67 |
| 6 | ((20!/14!)/(6!))x((60!/57!)/(3!)) | 1,326,367,200 | 174.84 |
| 7 | ((20!/13!)/(7!))x((60!/58!)/(2!)) | 137,210,400 | 1,690.11 |
| 8 | ((20!/12!)/(8!))x((60!/59!)/(1!)) | 7,558,200 | 30,681.95 |
| 9 | ((20!/11!)/(9!))x((60!/60!)/(0!)) | 167,960 | 1,380,687.65 |
10 Spot
Formula for determining total possibilities - (80!/70!)/(10!) = 1,646,492,110,120.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/50!)/(10!)) | 75,394,027,566 | 21.84 |
| 1 | ((20!/19!)/(1!))x((60!/51!)/(9!)) | 295,662,853,200 | 5.57 |
| 2 | ((20!/18!)/(2!))x((60!/52!)/(8!)) | 486,137,960,550 | 3.39 |
| 3 | ((20!/17!)/(3!))x((60!/53!)/(7!)) | 440,275,888,800 | 3.74 |
| 4 | ((20!/16!)/(4!))x((60!/54!)/(6!)) | 242,559,401,700 | 6.79 |
| 5 | ((20!/15!)/(5!))x((60!/55!)/(5!)) | 84,675,282,048 | 19.44 |
| 6 | ((20!/14!)/(6!))x((60!/56!)/(4!)) | 18,900,732,600 | 87.11 |
| 7 | ((20!/13!)/(7!))x((60!/57!)/(3!)) | 2,652,734,400 | 620.68 |
| 8 | ((20!/12!)/(8!))x((60!/58!)/(2!)) | 222,966,900 | 7,384.47 |
| 9 | ((20!/11!)/(9!))x((60!/59!)/(1!)) | 10,077,600 | 163,381.37 |
| 10 | ((20!/10!)/(10!))x((60!/60!)/(0!)) | 184,756 | 8,911,711.18 |
11 Spot
Formula for determining total possibilities - (80!/69!)/(11!) = 10,477,677,064,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/49!)/(11!)) | 342,700,125,300 | 30.57 |
| 1 | ((20!/19!)/(1!))x((60!/50!)/(10!)) | 1,507,880,551,320 | 6.95 |
| 2 | ((20!/18!)/(2!))x((60!/51!)/(9!)) | 2,808,797,105,400 | 3.73 |
| 3 | ((20!/17!)/(3!))x((60!/52!)/(8!)) | 2,916,827,763,300 | 3.59 |
| 4 | ((20!/16!)/(4!))x((60!/53!)/(7!)) | 1,871,172,527,400 | 5.60 |
| 5 | ((20!/15!)/(5!))x((60!/54!)/(6!)) | 776,190,085,440 | 13.50 |
| 6 | ((20!/14!)/(6!))x((60!/55!)/(5!)) | 211,688,205,120 | 49.50 |
| 7 | ((20!/13!)/(7!))x((60!/56!)/(4!)) | 37,801,465,200 | 277.18 |
| 8 | ((20!/12!)/(8!))x((60!/57!)/(3!)) | 4,310,693,400 | 2,430.62 |
| 9 | ((20!/11!)/(9!))x((60!/58!)/(2!)) | 297,289,200 | 35,244.06 |
| 10 | ((20!/10!)/(10!))x((60!/59!)/(1!)) | 11,085,360 | 945,181.49 |
| 11 | ((20!/9!)/(11!))x((60!/60!)/(0!)) | 167,960 | 62,381,978.24 |
12 Spot
Formula for determining total possibilities - (80!/68!)/(12!) = 60,246,643,120,300.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/48!)/(12!)) | 1,399,358,844,975 | 43.05 |
| 1 | ((20!/19!)/(1!))x((60!/49!)/(11!)) | 6,854,002,506,000 | 8.79 |
| 2 | ((20!/18!)/(2!))x((60!/50!)/(10!)) | 14,324,865,237,540 | 4.21 |
| 3 | ((20!/17!)/(3!))x((60!/51!)/(9!)) | 16,852,782,632,400 | 3.57 |
| 4 | ((20!/16!)/(4!))x((60!/52!)/(8!)) | 12,396,517,994,025 | 4.86 |
| 5 | ((20!/15!)/(5!))x((60!/53!)/(7!)) | 5,987,752,087,680 | 10.06 |
| 6 | ((20!/14!)/(6!))x((60!/54!)/(6!)) | 1,940,475,213,600 | 31.05 |
| 7 | ((20!/13!)/(7!))x((60!/55!)/(5!)) | 423,376,410,240 | 142.30 |
| 8 | ((20!/12!)/(8!))x((60!/56!)/(4!)) | 61,427,380,950 | 980.78 |
| 9 | ((20!/11!)/(9!))x((60!/57!)/(3!)) | 5,747,591,200 | 10,482.07 |
| 10 | ((20!/10!)/(10!))x((60!/58!)/(2!)) | 327,018,120 | 184,230.29 |
| 11 | ((20!/9!)/(11!))x((60!/59!)/(1!)) | 10,077,600 | 5,978,272.91 |
| 12 | ((20!/8!)/(12!))x((60!/60!)/(0!)) | 125,970 | 478,261,833.14 |
13 Spot
Formula for determining total possibilities - (80!/67!)/(13!) = 315,136,287,090,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/47!)/(13!)) | 5,166,863,427,600 | 60.99 |
| 1 | ((20!/19!)/(1!))x((60!/48!)/(12!)) | 27,987,176,899,500 | 11.26 |
| 2 | ((20!/18!)/(2!))x((60!/49!)/(11!)) | 65,113,023,807,000 | 4.84 |
| 3 | ((20!/17!)/(3!))x((60!/50!)/(10!)) | 85,949,191,425,240 | 3.67 |
| 4 | ((20!/16!)/(4!))x((60!/51!)/(9!)) | 71,624,326,187,700 | 4.40 |
| 5 | ((20!/15!)/(5!))x((60!/52!)/(8!)) | 39,668,857,580,880 | 7.94 |
| 6 | ((20!/14!)/(6!))x((60!/53!)/(7!)) | 14,969,380,219,200 | 21.05 |
| 7 | ((20!/13!)/(7!))x((60!/54!)/(6!)) | 3,880,950,427,200 | 81.20 |
| 8 | ((20!/12!)/(8!))x((60!/55!)/(5!)) | 687,986,666,640 | 458.06 |
| 9 | ((20!/11!)/(9!))x((60!/56!)/(4!)) | 81,903,174,600 | 3,847.67 |
| 10 | ((20!/10!)/(10!))x((60!/57!)/(3!)) | 6,322,350,320 | 49,844.80 |
| 11 | ((20!/9!)/(11!))x((60!/58!)/(2!)) | 297,289,200 | 1,060,032.75 |
| 12 | ((20!/8!)/(12!))x((60!/59!)/(1!)) | 7,558,200 | 41,694,621.35 |
| 13 | ((20!/7!)/(13!))x((60!/60!)/(0!)) | 77,520 | 4,065,225,581.67 |
14 Spot
Formula for determining total possibilities - (80!/66!)/(14!) = 1,508,152,231,077,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/46!)/(14!)) | 17,345,898,649,800 | 86.95 |
| 1 | ((20!/19!)/(1!))x((60!/47!)/(13!)) | 103,337,268,552,000 | 14.59 |
| 2 | ((20!/18!)/(2!))x((60!/48!)/(12!)) | 265,878,180,545,250 | 5.67 |
| 3 | ((20!/17!)/(3!))x((60!/49!)/(11!)) | 390,678,142,842,000 | 3.86 |
| 4 | ((20!/16!)/(4!))x((60!/50!)/(10!)) | 365,284,063,557,270 | 4.13 |
| 5 | ((20!/15!)/(5!))x((60!/51!)/(9!)) | 229,197,843,800,640 | 6.58 |
| 6 | ((20!/14!)/(8!))x((60!/52!)/(8!)) | 99,172,143,952,200 | 15.21 |
| 7 | ((20!/13!)/(7!))x((60!/53!)/(7!)) | 29,938,760,438,400 | 50.37 |
| 8 | ((20!/12!)/(8!))x((60!/54!)/(6!)) | 6,306,544,444,200 | 239.14 |
| 9 | ((20!/11!)/(9!))x((60!/55!)/(5!)) | 917,315,555,520 | 1,644.09 |
| 10 | ((20!/10!)/(10!))x((60!/56!)/(4!)) | 90,093,492,060 | 16,739.86 |
| 11 | ((20!/9!)/(11!))x((60!/57!)/(3!)) | 5,747,591,200 | 262,397.27 |
| 12 | ((20!/8!)/(12!))x((60!/58!)/(2!)) | 222,966,900 | 6,764,018.48 |
| 13 | ((20!/7!)/(13!))x((60!/59!)/(1!)) | 4,651,200 | 324,250,135.68 |
| 14 | ((20!/6!)/(14!))x((60!/60!)/(0!)) | 38,760 | 38,910,016,281.67 |
15 Spot
Formula for determining total possibilities - (80!/65!)/(15!) = 6,635,869,816,740,560.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/45!)/(15!)) | 53,194,089,192,720 | 124.75 |
| 1 | ((20!/19!)/(1!))x((60!/46!)/(14!)) | 346,917,972,996,000 | 19.13 |
| 2 | ((20!/18!)/(2!))x((60!/47!)/(13!)) | 981,704,051,244,000 | 6.76 |
| 3 | ((20!/17!)/(3!))x((60!/48!)/(12!)) | 1,595,269,083,271,500 | 4.16 |
| 4 | ((20!/16!)/(4!))x((60!/49!)/(11!)) | 1,660,382,107,078,500 | 4.00 |
| 5 | ((20!/15!)/(5!))x((60!/50!)/(10!)) | 1,168,909,003,383,264 | 5.68 |
| 6 | ((20!/14!)/(6!))x((60!/51!)/(9!)) | 572,994,609,501,600 | 11.58 |
| 7 | ((20!/13!)/(7!))x((60!/52!)/(8!)) | 198,344,287,904,400 | 33.46 |
| 8 | ((20!/12!)/(8!))x((60!/53!)/(7!)) | 48,650,485,712,400 | 136.40 |
| 9 | ((20!/11!)/(9!))x((60!/54!)/(6!)) | 8,408,725,925,600 | 789.16 |
| 10 | ((20!/10!)/(10!))x((60!/55!)/(5!)) | 1,009,047,111,072 | 6,576.37 |
| 11 | ((20!/9!)/(11!))x((60!/56!)/(4!)) | 81,903,174,600 | 81,021.91 |
| 12 | ((20!/8!)/(12!))x((60!/57!)/(3!)) | 4,310,693,400 | 1,539,397.31 |
| 13 | ((20!/7!)/(13!))x((60!/58!)/(2!)) | 137,210,400 | 48,362,732.10 |
| 14 | ((20!/6!)/(14!))x((60!/59!)/(1!)) | 2,325,600 | 2,853,401,193.99 |
| 15 | ((20!/5!)/(15!))x((60!/60!)/(0!)) | 15,504 | 428,010,179,098.33 |
16 Spot
Formula for determining total possibilities - (80!/64!)/(16!) = 26,958,221,130,508,525.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/44!)/(16!)) | 149,608,375,854,525 | 180.19 |
| 1 | ((20!/19!)/(1!))x((60!/45!)/(15!)) | 1,063,881,783,854,400 | 25.34 |
| 2 | ((20!/18!)/(2!))x((60!/46!)/(14!)) | 3,295,720,743,462,000 | 8.18 |
| 3 | ((20!/17!)/(3!))x((60!/47!)/(13!)) | 5,890,224,307,464,000 | 4.58 |
| 4 | ((20!/16!)/(4!))x((60!/48!)/(12!)) | 6,779,893,603,903,875 | 3.98 |
| 5 | ((20!/15!)/(5!))x((60!/49!)/(11!)) | 5,313,222,742,651,200 | 5.07 |
| 6 | ((20!/14!)/(6!))x((60!/50!)/(10!)) | 2,922,272,408,458,160 | 9.23 |
| 7 | ((20!/13!)/(7!))x((60!/51!)/(9!)) | 1,145,989,219,003,200 | 23.52 |
| 8 | ((20!/12!)/(8!))x((60!/52!)/(8!)) | 322,309,467,844,650 | 83.64 |
| 9 | ((20!/11!)/(9!))x((60!/53!)/(7!)) | 64,867,314,283,200 | 415.59 |
| 10 | ((20!/10!)/(10!))x((60!/54!)/(6!)) | 9,249,598,518,160 | 2,914.53 |
| 11 | ((20!/9!)/(11!))x((60!/55!)/(5!)) | 917,315,555,520 | 29,388.17 |
| 12 | ((20!/8!)/(12!))x((60!/56!)/(4!)) | 61,427,380,950 | 438,863.27 |
| 13 | ((20!/7!)/(13!))x((60!/57!)/(3!)) | 2,652,734,400 | 10,162,427.54 |
| 14 | ((20!/6!)/(14!))x((60!/58!)/(2!)) | 68,605,200 | 392,947,198.32 |
| 15 | ((20!/5!)/(15!))x((60!/59!)/(1!)) | 930,240 | 28,979,855,876.45 |
| 16 | ((20!/4!)/(16!))x((60!/60!)/(0!)) | 4,845 | 5,564,132,328,278.33 |
17 Spot
Formula for determining total possibilities - (80!/63!/(17!) = 101,489,773,667,796,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/43!)/(17!)) | 387,221,678,682,300 | 262.10 |
| 1 | ((20!/19!)/(1!))x((60!/44!)/(16!)) | 2,992,167,517,090,500 | 33.92 |
| 2 | ((20!/18!)/(2!))x((60!/45!)/(15!)) | 10,106,876,946,616,800 | 10.04 |
| 3 | ((20!/17!)/(3!))x((60!/46!)/(14!)) | 19,774,324,460,772,000 | 5.13 |
| 4 | ((20!/16!)/(4!))x((60!/47!)/(13!)) | 25,033,453,306,722,000 | 4.05 |
| 5 | ((20!/15!)/(5!))x((60!/48!)/(12!)) | 21,695,659,532,492,400 | 4.68 |
| 6 | ((20!/14!)/(6!))x((60!/49!)/(11!)) | 13,283,056,856,628,000 | 7.64 |
| 7 | ((20!/13!)/(7!))x((60!/50!)/(10!)) | 5,844,545,016,916,320 | 17.36 |
| 8 | ((20!/12!)/(8!))x((60!/51!)/(9!)) | 1,862,232,480,880,200 | 54.50 |
| 9 | ((20!/11!)/(9!))x((60!/52!)/(8!)) | 429,745,957,126,200 | 236.16 |
| 10 | ((20!/10!)/(10!))x((60!/53!)/(7!)) | 71,354,045,711,520 | 1,422.34 |
| 11 | ((20!/9!)/(11!))x((60!/54!)/(6!)) | 8,408,725,925,600 | 12,069.58 |
| 12 | ((20!/8!)/(12!))x((60!/55!)/(5!)) | 687,986,666,640 | 147,517.06 |
| 13 | ((20!/7!)/(13!))x((60!/56!)/(4!)) | 37,801,465,200 | 2,684,810.58 |
| 14 | ((20!/6!)/(14!))x((60!/57!)/(3!)) | 1,326,367,200 | 76,517,101.50 |
| 15 | ((20!/5!)/(15!))x((60!/58!)/(2!)) | 27,442,080 | 3,698,326,572.47 |
| 16 | ((20!/4!)/(16!))x((60!/59!)/(1!)) | 290,700 | 349,122,028,440.99 |
| 17 | ((20!/3!)/(17!))x((60!/60!)/(0!)) | 1,140 | 89,026,117,252,453.33 |
18 Spot
Formula for determining total possibilities - (80!/62!)/(18!) = 355,214,207,837,288,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/42!)/(18!)) | 925,029,565,741,050 | 384.00 |
| 1 | ((20!/19!)/(1!))x((60!/43!)/(17!)) | 7,744,433,573,646,000 | 45.87 |
| 2 | ((20!/18!)/(2!))x((60!/44!)/(16!)) | 28,425,591,412,359,750 | 12.50 |
| 3 | ((20!/17!)/(3!))x((60!/45!)/(15!)) | 60,641,261,679,700,800 | 5.86 |
| 4 | ((20!/16!)/(4!))x((60!/46!)/(14!)) | 84,040,878,958,281,000 | 4.23 |
| 5 | ((20!/15!)/(5!))x((60!/47!)/(13!)) | 80,107,050,581,510,400 | 4.43 |
| 6 | ((20!/14!)/(6!))x((60!/48!)/(12!)) | 54,239,148,831,231,000 | 6.55 |
| 7 | ((20!/13!)/(7!))x((60!/49!)/(11!)) | 26,566,113,713,256,000 | 13.37 |
| 8 | ((20!/12!)/(8!))x((60!/50!)/(10!)) | 9,497,385,652,489,020 | 37.40 |
| 9 | ((20!/11!)/(9!))x((60!/51!)/(9!)) | 2,482,976,641,173,600 | 143.06 |
| 10 | ((20!/10!)/(10!))x((60!/52!)/(8!)) | 472,720,552,838,820 | 751.43 |
| 11 | ((20!/9!)/(11!))x((60!/53!)/(7!)) | 64,867,314,283,200 | 5,476.01 |
| 12 | ((20!/8!)/(12!))x((60!/54!)/(6!)) | 6,306,544,444,200 | 56,324.70 |
| 13 | ((20!/7!)/(13!))x((60!/55!)/(5!)) | 423,376,410,240 | 839,003.31 |
| 14 | ((20!/6!)/(14!))x((60!/56!)/(4!)) | 18,900,732,600 | 18,793,674.05 |
| 15 | ((20!/5!)/(15!))x((60!/57!)/(3!)) | 530,546,880 | 669,524,638.12 |
| 16 | ((20!/4!)/(16!))x((60!/58!)/(2!)) | 8,575,650 | 41,421,257,611.64 |
| 17 | ((20!/3!)/(17!))x((60!/59!)/(1!)) | 68,400 | 5,193,190,173,059.79 |
| 18 | ((20!/2!)/(18!))x((60!/60!)/(0!)) | 190 | 1,869,548,462,301,520.00 |
19 Spot
Formula for determining total possibilities - (80!/61!)/(19!) = 1,159,120,046,626,942,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/41!)/(19!)) | 2,044,802,197,953,900 | 566.86 |
| 1 | ((20!/19!)/(1!))x((60!/42!)/(18!)) | 18,500,591,314,821,000 | 62.65 |
| 2 | ((20!/18!)/(2!))x((60!/43!)/(17!)) | 73,572,118,949,637,000 | 15.75 |
| 3 | ((20!/17!)/(3!))x((60!/44!)/(16!)) | 170,553,548,474,158,500 | 6.80 |
| 4 | ((20!/16!)/(4!))x((60!/45!)/(15!)) | 257,725,362,138,728,400 | 4.50 |
| 5 | ((20!/15!)/(5!))x((60!/46!)/(14!)) | 268,930,812,666,499,200 | 4.31 |
| 6 | ((20!/14!)/(6!))x((60!/47!)/(13!)) | 200,267,626,453,776,000 | 5.79 |
| 7 | ((20!/13!)/(7!))x((60!/48!)/(12!)) | 108,478,297,662,462,000 | 10.69 |
| 8 | ((20!/12!)/(8!))x((60!/49!)/(11!)) | 43,169,934,784,041,000 | 26.85 |
| 9 | ((20!/11!)/(9!))x((60!/50!)/(10!)) | 12,663,180,869,985,360 | 91.53 |
| 10 | ((20!/10!)/(10!))x((60!/51!)/(9!)) | 2,731,274,305,290,560 | 424.39 |
| 11 | ((20!/9!)/(11!))x((60!/52!)/(8!)) | 429,745,957,126,200 | 2,697.22 |
| 12 | ((20!/8!)/(12!))x((60!/53!)/(7!)) | 48,650,485,712,400 | 23,825.46 |
| 13 | ((20!/7!)/(13!))x((60!/54!)/(6!)) | 3,880,950,427,200 | 298,669.12 |
| 14 | ((20!/6!)/(14!))x((60!/55!)/(5!)) | 211,688,205,120 | 5,475,600.52 |
| 15 | ((20!/5!)/(15!))x((60!/56!)/(4!)) | 7,560,293,040 | 153,316,814.64 |
| 16 | ((20!/4!)/(16!))x((60!/57!)/(3!)) | 165,795,900 | 6,991,246,747.52 |
| 17 | ((20!/3!)/(17!))x((60!/58!)/(2!)) | 2,017,800 | 574,447,441,087.79 |
| 18 | ((20!/2!)/(18!))x((60!/59!)/(1!)) | 11,400 | 101,677,197,072,538.81 |
| 19 | ((20!/1!)/(19!))x((60!/60!)/(0!)) | 20 | 57,956,002,331,347,120.00 |
20 Spot
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((60!/40!)/(20!)) | 4,191,844,505,805,495 | 843.38 |
| 1 | ((20!/19!)/(1!))x((60!/41!)/(19!)) | 40,896,043,959,078,000 | 86.45 |
| 2 | ((20!/18!)/(2!))x((60!/42!)/(18!)) | 175,755,617,490,799,500 | 20.11 |
| 3 | ((20!/17!)/(3!))x((60!/43!)/(17!)) | 441,432,713,697,822,000 | 8.01 |
| 4 | ((20!/16!)/(4!))x((60!/44!)/(16!)) | 724,852,581,015,173,625 | 4.88 |
| 5 | ((20!/15!)/(5!))x((60!/45!)/(15!)) | 824,721,158,843,930,880 | 4.29 |
| 6 | ((20!/14!)/(6!))x((60!/46!)/(14!)) | 672,327,031,666,248,000 | 5.26 |
| 7 | ((20!/13!)/(7!))x((60!/47!)/(13!)) | 400,535,252,907,552,000 | 8.83 |
| 8 | ((20!/12!)/(8!))x((60!/48!)/(12!)) | 176,277,233,701,500,750 | 20.06 |
| 9 | ((20!/11!)/(9!))x((60!/49!)/(11!)) | 57,559,913,045,388,000 | 61.42 |
| 10 | ((20!/10!)/(10!))x((60!/50!)/(10!)) | 13,929,498,956,983,896 | 253.80 |
| 11 | ((20!/9!)/(11!))x((60!/51!)/(9!)) | 2,482,976,641,173,600 | 1,432.82 |
| 12 | ((20!/8!)/(12!))x((60!/52!)/(8!)) | 322,309,467,844,650 | 10,968.70 |
| 13 | ((20!/7!)/(13!))x((60!/53!)/(7!)) | 29,938,760,438,400 | 118,084.92 |
| 14 | ((20!/6!)/(14!))x((60!/54!)/(6!)) | 1,940,475,213,600 | 1,821,881.63 |
| 15 | ((20!/5!)/(15!))x((60!/55!)/(5!)) | 84,675,282,048 | 41,751,453.99 |
| 16 | ((20!/4!)/(16!))x((60!/56!)/(4!)) | 2,362,591,575 | 1,496,372,110.87 |
| 17 | ((20!/3!)/(17!))x((60!/57!)/(3!)) | 39,010,800 | 90,624,035,964.71 |
| 18 | ((20!/2!)/(18!))x((60!/58!)/(2!)) | 336,300 | 10,512,388,171,906.55 |
| 19 | ((20!/1!)/(19!))x((60!/59!)x(1!)) | 1,200 | 2,946,096,785,176,811.77 |
| 20 | ((20!/0!)/(20!))x((60!/60!)/(0!)) | 1 | 3,535,316,142,212,174,320.00 |
Top/Bottom, Left/Right and Odd/Even
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 40 | ((40!/40!)/(0!))x((40!/20!)/(20!)) | 137,846,528,820 | 25,646,754.93 |
| 1 of 40 | ((40!/39!)/(1!))x((40!/21!)/(19!)) | 5,251,296,336,000 | 673,227.32 |
| 2 of 40 | ((40!/38!)/(2!))x((40!/22!)/(18!)) | 88,436,604,204,000 | 39,975.71 |
| 3 of 40 | ((40!/37!)/(3!))x((40!/23!)/(17!)) | 876,675,902,544,000 | 4,032.64 |
| 4 of 40 | ((40!/36!)/(4!))x((40!/24!)/(16!)) | 5,744,053,569,793,500 | 615.47 |
| 5 of 40 | ((40!/35!)/(5!))x((40!/25!)/(15!)) | 26,468,598,849,608,448 | 133.57 |
| 6 of 40 | ((40!/34!)/(6!))x((40!/26!)/(14!)) | 89,077,015,359,259,200 | 39.69 |
| 7 of 40 | ((40!/33!)/(7!))x((40!/27!)/(13!)) | 224,342,112,756,652,800 | 15.76 |
| 8 of 40 | ((40!/32!)/(8!))x((40!/28!)/(12!)) | 429,655,207,020,553,800 | 8.23 |
| 9 of 40 | ((40!/31!)/(9!))x((40!/29!)/(11!)) | 632,136,396,535,987,200 | 5.59 |
| 10 of 40 | ((40!/30!)/(10!))x((40!/30!)/(10!)) | 718,528,370,729,238,784 | 4.92 |
| 11 of 40 | ((40!/29!)/(11!))x((40!/31!)/(9!)) | 632,136,396,535,987,200 | 5.59 |
| 12 of 40 | ((40!/28!)/(12!))x((40!/32!)/(8!)) | 429,655,207,020,553,800 | 8.23 |
| 13 of 40 | ((40!/27!)/(13!))x((40!/33!)/(7!)) | 224,342,112,756,652,800 | 15.76 |
| 14 of 40 | ((40!/26!)/(14!))x((40!/34!)/(6!)) | 89,077,015,359,259,200 | 39.69 |
| 15 of 40 | ((40!/25!)/(15!))x((40!/35!)/(5!)) | 26,468,598,849,608,448 | 133.57 |
| 16 of 40 | ((40!/24!)/(16!))x((40!/36!)/(4!)) | 5,744,053,569,793,500 | 615.47 |
| 17 of 40 | ((40!/23!)/(17!))x((40!/37!)/(3!)) | 876,675,902,544,000 | 4,032.64 |
| 18 of 40 | ((40!/22!)/(18!))x((40!/38!)/(2!)) | 88,436,604,204,000 | 39,975.71 |
| 19 of 40 | ((40!/21!)/(19!))x((40!/39!)/(1!)) | 5,251,296,336,000 | 673,227.32 |
| 20 of 40 | ((40!/20!)/(20!))x((40!/40!)/(0!)) | 137,846,528,820 | 25,646,754.93 |
Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 9 or 11 spots on top or bottom, left or right, and odd or even (or combinations like 8-12, 7-13, 6-14, 5-15, 4-16, 3-17, 2-18, 1-19 and 0-20), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 10, however, is unique.
Top, Middle or Bottom
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| <10 of 20 | (Calculated) | 1,408,393,885,741,467,768 | 2.51 |
| 10 of 20 | ((40!/30!)/(10!))x((40!/30!)/(10!)) | 718,528,370,729,238,784 | 4.92 |
| >10 of 20 | (Calculated) | 1,408,393,885,741,467,768 | 2.51 |
Edge and Inside/Outside
The 80-number Keno board can be displayed with eight rows of ten numbers each or ten rows of eight numbers each. In either case the edge will consist of 32 numbers.
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 32 | ((32!/32!)/(0!))x((48!/28!)/(20!)) | 16,735,675,449,896 | 211,244.26 |
| 1 of 32 | ((32!/31!)/(1!))x((48!/29!)/(19!)) | 369,339,132,687,360 | 9,572.01 |
| 2 of 32 | ((32!/30!)/(2!))x((48!/30!)/(18!)) | 3,625,679,152,547,584 | 975.08 |
| 3 of 32 | ((32!/29!)/(3!))x((48!/31!)/(17!)) | 21,052,330,563,179,520 | 167.93 |
| 4 of 32 | ((32!/28!)/(4!))x((48!/32!)/(16!)) | 81,084,366,934,746,120 | 43.60 |
| 5 of 32 | ((32!/27!)/(5!))x((48!/33!)/(15!)) | 220,156,341,737,977,344 | 16.06 |
| 6 of 32 | ((32!/26!)/(6!))x((48!/34!)/(14!)) | 437,075,090,215,102,080 | 8.09 |
| 7 of 32 | ((32!/25!)/(7!))x((48!/35!)/(13!)) | 649,368,705,462,437,376 | 5.44 |
| 8 of 32 | ((32!/24!)/(8!))x((48!/36!)/(12!)) | 732,794,546,094,764,400 | 4.82 |
| 9 of 32 | ((32!/23!)/(9!))x((48!/37!)/(11!)) | 633,768,256,081,958,400 | 5.58 |
| 10 of 32 | ((32!/22!)/(10!))x((48!/38!)/(10!)) | 421,956,233,654,567,040 | 8.38 |
| 11 of 32 | ((32!/21!)/(11!))x((48!/39!)/(9!)) | 216,387,812,130,547,200 | 16.34 |
| 12 of 32 | ((32!/20!)/(12!))x((48!/40!)/(8!)) | 85,202,701,026,402,960 | 41.19 |
| 13 of 32 | ((32!/19!)/(13!))x((48!/41!)/(7!)) | 25,576,795,805,299,200 | 138.22 |
| 14 of 32 | ((32!/18!)/(14!))x((48!/42!)/(6!)) | 5,785,227,622,627,200 | 611.09 |
| 15 of 32 | ((32!/17!)/(15!))x((48!/43!)/(5!)) | 968,689,276,346,880 | 3,649.59 |
| 16 of 32 | ((32!/16!)/(16!))x((48!/44!)/(4!)) | 116,958,222,286,200 | 30,227.17 |
| 17 of 32 | ((32!/15!)/(17!))x((48!/45!)/(3!)) | 9,784,740,165,120 | 361,309.15 |
| 18 of 32 | ((32!/14!)/(18!))x((48!/46!)/(2!)) | 531,779,356,800 | 6,648,088.34 |
| 19 of 32 | ((32!/13!)/(19!))x((48!/47!)/(1!)) | 16,673,932,800 | 212,026,531.75 |
| 20 of 32 | ((32!/12!)/(20!))x((48!/48!)/(0!)) | 225,792,840 | 15,657,343,883.06 |
Keno Computation Tables - 22 Numbers Drawn From an 80-Number Board
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,625,280.
1 Spot
Formula for determining total possibilities - (80!/79!)/(1!) = 80.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/57!)/(1!)) | 58 | 1.38 |
| 1 | ((22!/21!)/(1!))x((58!/58!)/(0!)) | 22 | 3.64 |
2 Spot
Formula for determining total possibilities - (80!/78!)/(2!) = 3,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/56!)/(2!)) | 1,653 | 1.91 |
| 1 | ((22!/21!)/(1!))x((58!/57!)/(1!)) | 1,276 | 2.48 |
| 2 | ((22!/20!)/(2!))x((58!/58!)/(0!)) | 231 | 13.68 |
3 Spot
Formula for determining total possibilities - (80!/77!)/(3!) = 82,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/55!)/(3!)) | 30,856 | 2.66 |
| 1 | ((22!/21!)/(1!))x((58!/56!)/(2!)) | 36,366 | 2.26 |
| 2 | ((22!/20!)/(2!))x((58!/57!)/(1!)) | 13,398 | 6.13 |
| 3 | ((22!/19!)/(3!))x((58!/58!)/(0!)) | 1,540 | 53.35 |
4 Spot
Formula for determining total possibilities - (80!/76!)/(4!) = 1,581,580.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/54!)/(4!)) | 424,270 | 3.73 |
| 1 | ((22!/21!)/(1!))x((58!/55!)/(3!)) | 678,832 | 2.33 |
| 2 | ((22!/20!)/(2!))x((58!/56!)/(2!)) | 381,843 | 4.14 |
| 3 | ((22!/19!)/(3!))x((58!/57!)/(1!)) | 89,320 | 17.71 |
| 4 | ((22!/18!)/(4!))x((58!/58!)/(0!)) | 7,315 | 216.21 |
5 Spot
Formula for determining total possibilities - (80!/75!)/(5!) = 24,040,016.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/53!)/(5!)) | 4,582,116 | 5.25 |
| 1 | ((22!/21!)/(1!))x((58!/54!)/(4!)) | 9,333,940 | 2.58 |
| 2 | ((22!/20!)/(2!))x((58!/55!)/(3!)) | 7,127,736 | 3.37 |
| 3 | ((22!/19!)/(3!))x((58!/56!)/(2!)) | 2,545,620 | 9.44 |
| 4 | ((22!/18!)/(4!))x((58!/57!)/(1!)) | 424,270 | 56.66 |
| 5 | ((22!/17!)/(5!))x((58!/58!)/(0!)) | 26,334 | 912.89 |
6 Spot
Formula for determining total possibilities - (80!/74!)/(6!) = 300,500,200.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/52!)/(6!)) | 40,475,358 | 7.42 |
| 1 | ((22!/21!)/(1!))x((58!/53!)/(5!)) | 100,806,552 | 2.98 |
| 2 | ((22!/20!)/(2!))x((58!/54!)/(4!)) | 98,006,370 | 3.07 |
| 3 | ((22!/19!)/(3!))x((58!/55!)/(3!)) | 47,518,240 | 6.32 |
| 4 | ((22!/18!)/(4!))x((58!/56!)/(2!)) | 12,091,695 | 24.85 |
| 5 | ((22!/17!)/(5!))x((58!/57!)/(1!)) | 1,527,372 | 196.74 |
| 6 | ((22!/16!)/(6!))x((58!/58!)/(0!)) | 74,613 | 4,027.45 |
7 Spot
Formula for determining total possibilities - (80!/73!)/(7!) = 3,176,716,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/51!)/(7!)) | 300,674,088 | 10.57 |
| 1 | ((22!/21!)/(1!))x((58!/52!)/(6!)) | 890,457,876 | 3.57 |
| 2 | ((22!/20!)/(2!))x((58!/53!)/(5!)) | 1,058,468,796 | 3.00 |
| 3 | ((22!/19!)/(3!))x((58!/54!)/(4!)) | 653,375,800 | 4.86 |
| 4 | ((22!/18!)/(4!))x((58!/55!)/(3!)) | 225,711,640 | 14.07 |
| 5 | ((22!/17!)/(5!))x((58!/56!)/(2!)) | 43,530,102 | 72.98 |
| 6 | ((22!/16!)/(6!))x((58!/57!)/(1!)) | 4,327,554 | 734.07 |
| 7 | ((22!/15!)/(7!))x((58!/58!)/(0!)) | 170,544 | 18,626.96 |
8 Spot
Formula for determining total possibilities - (80!/72!)/(8!) = 28,987,537,150.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/50!)/(8!)) | 1,916,797,311 | 10.57 |
| 1 | ((22!/21!)/(1!))x((58!/51!)/(7!)) | 6,614,829,936 | 3.57 |
| 2 | ((22!/20!)/(2!))x((58!/52!)/(6!)) | 9,349,807,698 | 3.10 |
| 3 | ((22!/19!)/(3!))x((58!/53!)/(5!)) | 7,056,458,640 | 4.11 |
| 4 | ((22!/18!)/(4!))x((58!/54!)/(4!)) | 3,103,535,050 | 9.34 |
| 5 | ((22!/17!)/(5!))x((58!/55!)/(3!)) | 812,561,904 | 35.67 |
| 6 | ((22!/16!)/(6!))x((58!/56!)/(2!)) | 123,335,289 | 235.03 |
| 7 | ((22!/15!)/(7!))x((58!/57!)/(1!)) | 9,891,552 | 2,930.53 |
| 8 | ((22!/14!)/(8!))x((58!/58!)/(0!)) | 319,770 | 90,651.21 |
9 Spot
Formula for determining total possibilities - (80!/71!)/(9!) = 231,900,297,200.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/49!)/(9!)) | 10,648,873,950 | 21.78 |
| 1 | ((22!/21!)/(1!))x((58!/50!)/(8!)) | 42,169,540,842 | 5.50 |
| 2 | ((22!/20!)/(2!))x((58!/51!)/(7!)) | 69,455,714,328 | 3.34 |
| 3 | ((22!/19!)/(3!))x((58!/52!)/(6!)) | 62,332,051,320 | 3.72 |
| 4 | ((22!/18!)/(4!))x((58!/53!)/(5!)) | 33,518,178,540 | 6.92 |
| 5 | ((22!/17!)/(5!))x((58!/54!)/(4!)) | 11,172,726,180 | 20.76 |
| 6 | ((22!/16!)/(6!))x((58!/55!)/(3!)) | 2,302,258,728 | 100.73 |
| 7 | ((22!/15!)/(7!))x((58!/56!)/(2!)) | 281,909,232 | 822.61 |
| 8 | ((22!/14!)/(8!))x((58!/57!)/(1!)) | 18,546,660 | 12,503.62 |
| 9 | ((22!/13!)/(9!))x((58!/58!)/(0!)) | 497,420 | 466,206.22 |
10 Spot
Formula for determining total possibilities - (80!/70!)/(10!) = 1,646,492,110,120.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/48!)/(10!)) | 52,179,482,355 | 31.55 |
| 1 | ((22!/21!)/(1!))x((58!/49!)/(9!)) | 234,275,226,900 | 7.03 |
| 2 | ((22!/20!)/(2!))x((58!/50!)/(8!)) | 442,780,178,841 | 3.72 |
| 3 | ((22!/19!)/(3!))x((58!/51!)/(7!)) | 463,068,095,520 | 3.56 |
| 4 | ((22!/18!)/(4!))x((58!/52!)/(6!)) | 296,077,243,770 | 5.56 |
| 5 | ((22!/17!)/(5!))x((58!/53!)/(5!)) | 120,665,442,744 | 13.65 |
| 6 | ((22!/16!)/(6!))x((58!/54!)/(4!)) | 31,656,057,510 | 52.01 |
| 7 | ((22!/15!)/(7!))x((58!/55!)/(3!)) | 5,262,305,664 | 312.88 |
| 8 | ((22!/14!)/(8!))x((58!/56!)/(2!)) | 528,579,810 | 3,114.94 |
| 9 | ((22!/13!)/(9!))x((58!/57!)/(1!)) | 28,850,360 | 57,070.07 |
| 10 | ((22!/12!)/(10!))x((58!/58!)/(0!)) | 646,646 | 2,546,203.19 |
11 Spot
Formula for determining total possibilities - (80!/69!)/(11!) = 10,477,677,064,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/47!)/(11!)) | 227,692,286,640 | 46.02 |
| 1 | ((22!/21!)/(1!))x((58!/48!)/(10!)) | 1,147,948,611,810 | 9.13 |
| 2 | ((22!/20!)/(2!))x((58!/49!)/(9!)) | 2,459,889,882,450 | 4.26 |
| 3 | ((22!/19!)/(3!))x((58!/50!)/(8!)) | 2,951,867,858,940 | 3.55 |
| 4 | ((22!/18!)/(4!))x((58!/51!)/(7!)) | 2,199,430,953,720 | 4.76 |
| 5 | ((22!/17!)/(5!))x((58!/52!)/(6!)) | 1,065,878,077,572 | 9.83 |
| 6 | ((22!/16!)/(6!))x((58!/53!)/(5!)) | 341,885,421,108 | 30.65 |
| 7 | ((22!/15!)/(7!))x((58!/54!)/(4!)) | 72,356,702,880 | 144.81 |
| 8 | ((22!/14!)/(8!))x((58!/55!)/(3!)) | 9,866,823,120 | 1,061.91 |
| 9 | ((22!/13!)/(9!))x((58!/56!)/(2!)) | 822,235,260 | 12,742.92 |
| 10 | ((22!/12!)/(10!))x((58!/57!)/(1!)) | 37,505,468 | 279,363,99 |
| 11 | ((22!/11!)/(11!))x((58!/58!)/(0!)) | 705,432 | 14,852,851.96 |
12 Spot
Formula for determining total possibilities - (80!/68!)/(12!) = 60,246,643,120,300.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/46!)/(12!)) | 891,794,789,340 | 67.56 |
| 1 | ((22!/21!)/(1!))x((58!/47!)/(11!)) | 5,009,230,306,080 | 12.03 |
| 2 | ((22!/20!)/(2!))x((58!/48!)/(10!)) | 12,053,460,424,005 | 5.00 |
| 3 | ((22!/19!)/(3!))x((58!/49!)/(9!)) | 16,399,265,883,000 | 3.67 |
| 4 | ((22!/18!)/(4!))x((58!/50!)/(8!)) | 14,021,372,329,965 | 4.30 |
| 5 | ((22!/17!)/(5!))x((58!/51!)/(7!)) | 7,917,951,433,392 | 7.61 |
| 6 | ((22!/16!)/(6!))x((58!/52!)/(6!)) | 3,019,987,886,454 | 19.95 |
| 7 | ((22!/15!)/(7!))x((58!/53!)/(5!)) | 781,452,391,104 | 77.10 |
| 8 | ((22!/14!)/(8!))x((58!/54!)/(4!)) | 135,668,817,900 | 444.07 |
| 9 | ((22!/13!)/(9!))x((58!/55!)/(3!)) | 15,348,391,520 | 3,925.27 |
| 10 | ((22!/12!)/(10!))x((58!/56!)/(2!)) | 1,068,905,838 | 56,392.91 |
| 11 | ((22!/11!)/(11!))x((58!/57!)/(1!)) | 40,915,056 | 1,472,481.01 |
| 12 | ((22!/10!)/(12!))x((58!/58!)/(0!)) | 646,646 | 93,167,889.57 |
13 Spot
Formula for determining total possibilities - (80!/67!)/(13!) = 315,136,287,090,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/45!)/(13!)) | 3,155,581,562,280 | 99.87 |
| 1 | ((22!/21!)/(1!))x((58!/46!)/(12!)) | 19,619,485,365,480 | 16.06 |
| 2 | ((22!/20!)/(2!))x((58!/47!)/(11!)) | 52,596,918,213,840 | 5.99 |
| 3 | ((22!/19!)/(3!))x((58!/48!)/(10!)) | 80,356,402,826,700 | 3.92 |
| 4 | ((22!/18!)/(4!))x((58!/49!)/(9!)) | 77,896,512,944,250 | 4.05 |
| 5 | ((22!/17!)/(5!))x((58!/50!)/(8!)) | 50,476,940,387,874 | 6.24 |
| 6 | ((22!/16!)/(6!))x((58!/51!)/(7!)) | 22,434,195,727,944 | 14.05 |
| 7 | ((22!/15!)/(7!))x((58!/52!)/(6!)) | 6,902,829,454,752 | 45.65 |
| 8 | ((22!/14!)/(8!))x((58!/53!)/(5!)) | 1,465,223,233,320 | 215.08 |
| 9 | ((22!/13!)/(9!))x((58!/54!)/(4!)) | 211,040,383,400 | 1,493.25 |
| 10 | ((22!/12!)/(10!))x((58!/55!)/(3!)) | 19,952,908,976 | 15,794.00 |
| 11 | ((22!/11!)/(11!))x((58!/56!)/(2!)) | 1,166,079,096 | 270,252.93 |
| 12 | ((22!/10!)/(12!))x((58!/57!)/(1!)) | 37,505,468 | 8,402,409.14 |
| 13 | ((22!/9!)/(13!))x((58!/58!)/(0!)) | 497,420 | 633,541,649.09 |
14 Spot
Formula for determining total possibilities - (80!/66!)/(14!) = 1,508,152,231,077,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/44!)/(14!)) | 10,142,940,735,900 | 148.69 |
| 1 | ((22!/21!)/(1!))x((58!/45!)/(13!)) | 69,422,794,370,160 | 21.72 |
| 2 | ((22!/20!)/(2!))x((58!/46!)/(12!)) | 206,004,596,337,540 | 7.32 |
| 3 | ((22!/19!)/(3!))x((58!/47!)/(11!)) | 350,646,121,425,600 | 4.30 |
| 4 | ((22!/18!)/(4!))x((58!/48!)/(10!)) | 381,692,913,426,825 | 3.95 |
| 5 | ((22!/17!)/(5!))x((58!/49!)/(9!)) | 280,427,446,599,300 | 5.38 |
| 6 | ((22!/16!)/(8!))x((58!/50!)/(8!)) | 143,017,997,765,643 | 10.55 |
| 7 | ((22!/15!)/(7!))x((58!/51!)/(7!)) | 51,278,161,663,872 | 29.41 |
| 8 | ((22!/14!)/(8!))x((58!/52!)/(6!)) | 12,942,805,227,660 | 116.52 |
| 9 | ((22!/13!)/(9!))x((58!/53!)/(5!)) | 2,279,236,140,720 | 661.69 |
| 10 | ((22!/12!)/(10!))x((58!/54!)/(4!)) | 274,352,498,420 | 5,497.13 |
| 11 | ((22!/11!)/(11!))x((58!/55!)/(3!)) | 21,766,809,792 | 69,286.78 |
| 12 | ((22!/10!)/(12!))x((58!/56!)/(2!)) | 1,068,905,838 | 1,410,930.86 |
| 13 | ((22!/9!)/(13!))x((58!/57!)/(1!)) | 28,850,360 | 52,274,988.29 |
| 14 | ((22!/8!)/(14!))x((58!/58!)/(0!)) | 319,770 | 4,716,365,609.90 |
15 Spot
Formula for determining total possibilities - (80!/65!)/(15!) = 6,635,869,816,740,560.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/43!)/(15!)) | 29,752,626,158,640 | 223.03 |
| 1 | ((22!/21!)/(1!))x((58!/44!)/(14!)) | 223,144,696,189,800 | 29.74 |
| 2 | ((22!/20!)/(2!))x((58!/45!)/(13!)) | 728,939,340,886,680 | 9.10 |
| 3 | ((22!/19!)/(3!))x((58!/46!)/(12!)) | 1,373,363,975,583,600 | 4.83 |
| 4 | ((22!/18!)/(4!))x((58!/47!)/(11!)) | 1,665,569,076,771,600 | 3.98 |
| 5 | ((22!/17!)/(5!))x((58!/48!)/(10!)) | 1,374,094,488,336,570 | 4.83 |
| 6 | ((22!/16!)/(6!))x((58!/49!)/(9!)) | 794,544,432,031,350 | 8.35 |
| 7 | ((22!/15!)/(7!))x((58!/50!)/(8!)) | 326,898,280,607,184 | 20.30 |
| 8 | ((22!/14!)/(8!))x((58!/51!)/(7!)) | 96,146,553,119,760 | 69.02 |
| 9 | ((22!/13!)/(9!))x((58!/52!)/(6!)) | 20,133,252,576,360 | 329.60 |
| 10 | ((22!/12!)/(10!))x((58!/53!)/(5!)) | 2,963,006,982,936 | 2,239.57 |
| 11 | ((22!/11!)/(11!))x((58!/54!)/(4!)) | 299,293,634,640 | 22,171.77 |
| 12 | ((22!/10!)/(12!))x((58!/55!)/(3!)) | 19,952,908,976 | 332,576.76 |
| 13 | ((22!/9!)/(13!))x((58!/56!)/(2!)) | 822,235,260 | 8,070,524.51 |
| 14 | ((22!/8!)/(14!))x((58!/57!)/(1!)) | 18,546,660 | 357,793,253.16 |
| 15 | ((22!/7!)/(15!))x((58!/58!)/(0!)) | 170,544 | 38,910,016,281.67 |
16 Spot
Formula for determining total possibilities - (80!/64!)/(16!) = 26,958,221,130,508,525.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/42!)/(16!)) | 79,960,182,801,345 | 337.15 |
| 1 | ((22!/21!)/(1!))x((58!/43!)/(15!)) | 654,557,775,490,080 | 41.19 |
| 2 | ((22!/20!)/(2!))x((58!/44!)/(14!)) | 2,343,019,309,992,900 | 11.51 |
| 3 | ((22!/18!)/(3!))x((58!/45!)/(13!)) | 4,859,595,605,911,200 | 5.55 |
| 4 | ((22!/18!)/(4!))x((58!/46!)/(12!)) | 6,523,478,884,022,100 | 4.13 |
| 5 | ((22!/17!)/(5!))x((58!/47!)/(11!)) | 5,996,048,676,377,760 | 4.50 |
| 6 | ((22!/16!)/(6!))x((58!/48!)/(10!)) | 3,893,267,716,953,615 | 6.92 |
| 7 | ((22!/15!)/(7!))x((58!/49!)/(9!)) | 1,816,101,558,928,800 | 14.84 |
| 8 | ((22!/14!)/(8!))x((58!/50!)/(8!)) | 612,934,276,138,470 | 43.98 |
| 9 | ((22!/13!)/(9!))x((58!/51!)/(7!)) | 149,561,304,852,960 | 180.25 |
| 10 | ((22!/12!)/(10!))x((58!/52!)/(6!)) | 26,173,228,349,268 | 1,029.99 |
| 11 | ((22!/11!)/(11!))x((58!/53!)/(5!)) | 3,232,371,254,112 | 8,340.08 |
| 12 | ((22!/10!)/(12!))x((58!/54!)/(4!)) | 274,352,498,420 | 98,261.26 |
| 13 | ((22!/9!)/(13!))x((58!/55!)/(3!)) | 15,348,391,520 | 1,756,419.95 |
| 14 | ((22!/8!)/(14!))x((58!/56!)/(2!)) | 528,579,810 | 51,001,231.26 |
| 15 | ((22!/7!)/(15!))x((58!/57!)/(1!)) | 9,891,552 | 2,725,378,295.59 |
| 16 | ((22!/6!)/(16!))x((58!/58!)/(0!)) | 74,613 | 361,307,294,044.05 |
17 Spot
Formula for determining total possibilities - (80!/63!/(17!) = 101,489,773,667,796,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/41!)/(17!)) | 197,548,686,920,970 | 513.75 |
| 1 | ((22!/21!)/(1!))x((58!/42!)/(16!)) | 1,759,124,021,629,590 | 57.69 |
| 2 | ((22!/20!)/(2!))x((58!/43!)/(15!)) | 6,872,856,642,645,840 | 14.77 |
| 3 | ((22!/19!)/(3!))x((58!/44!)/(14!)) | 15,620,128,733,286,000 | 6.50 |
| 4 | ((22!/18!)/(4!))x((58!/45!)/(13!)) | 23,083,079,128,078,200 | 4.40 |
| 5 | ((22!/17!)/(5!))x((58!/46!)/(12!)) | 23,484,523,982,479,560 | 4.32 |
| 6 | ((22!/16!)/(6!))x((58!/47!)/(11!)) | 16,988,804,583,070,320 | 5.97 |
| 7 | ((22!/15!)/(7!))x((58!/48!)/(10!)) | 8,898,897,638,751,120 | 11.40 |
| 8 | ((22!/14!)/(8!))x((58!/49!)/(9!)) | 3,405,190,422,991,500 | 29.80 |
| 9 | ((22!/13!)/(9!))x((58!/50!)/(8!)) | 953,453,318,437,620 | 106.44 |
| 10 | ((22!/12!)/(10!))x((58!/51!)/(7!)) | 194,429,696,308,848 | 521.99 |
| 11 | ((22!/11!)/(11!))x((58!/52!)/(6!)) | 28,552,612,744,656 | 3,554.48 |
| 12 | ((22!/10!)/(12!))x((58!/53!)/(5!)) | 2,963,006,982,936 | 34,252.29 |
| 13 | ((22!/9!)/(13!))x((58!/54!)/(4!)) | 211,040,383,400 | 480,902.15 |
| 14 | ((22!/8!)/(14!))x((58!/55!)/(3!)) | 9,866,823,120 | 10,285,962.61 |
| 15 | ((22!/7!)/(15!))x((58!/56!)/(2!)) | 281,909,232 | 360,008,691.26 |
| 16 | ((22!/6!)/(16!))x((58!/57!)/(1!)) | 4,327,554 | 23,451,994,745.25 |
| 17 | ((22!/5!)/(17!))x((58!/58!)/(0!)) | 26,334 | 3,853,944,469,803.18 |
18 Spot
Formula for determining total possibilities - (80!/62!)/(18!) = 355,214,207,837,288,800.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/40!)/(18!)) | 449,972,009,097,765 | 789.41 |
| 1 | ((22!/21!)/(1!))x((58!/41!)/(17!)) | 4,346,071,112,261,340 | 81.73 |
| 2 | ((22!/20!)/(2!))x((58!/42!)/(16!)) | 18,470,802,227,110,695 | 19.23 |
| 3 | ((22!/19!)/(3!))x((58!/43!)/(15!)) | 45,819,044,284,305,600 | 7.75 |
| 4 | ((22!/18!)/(4!))x((58!/44!)/(14!)) | 74,195,611,483,108,500 | 4.79 |
| 5 | ((22!/17!)/(5!))x((58!/45!)/(13!)) | 83,099,084,861,081,520 | 4.27 |
| 6 | ((22!/16!)/(6!))x((58!/46!)/(12!)) | 66,539,484,617,025,420 | 5.34 |
| 7 | ((22!/15!)/(7!))x((58!/47!)/(11!)) | 38,831,553,332,732,160 | 9.15 |
| 8 | ((22!/14!)/(8!))x((58!/48!)/(10!)) | 16,685,433,072,658,350 | 21.29 |
| 9 | ((22!/13!)/(9!))x((58!/49!)/(9!)) | 5,296,962,880,209,000 | 67.06 |
| 10 | ((22!/12!)/(10!))x((58!/50!)/(8!)) | 1,239,489,313,968,906 | 286.58 |
| 11 | ((22!/11!)/(11!))x((58!/51!)/(7!)) | 212,105,123,246,016 | 1,674.71 |
| 12 | ((22!/10!)/(12!))x((58!/52!)/(6!)) | 26,173,228,349,268 | 13,571.66 |
| 13 | ((22!/9!)/(13!))x((58!/53!)/(5!)) | 2,279,236,140,720 | 155,847.92 |
| 14 | ((22!/8!)/(14!))x((58!/54!)/(4!)) | 135,668,817,900 | 2,618,245.03 |
| 15 | ((22!/7!)/(15!))x((58!/55!)/(3!)) | 5,262,305,664 | 67,501,629.61 |
| 16 | ((22!/6!)/(16!))x((58!/56!)/(2!)) | 123,335,289 | 2,880,069,530.12 |
| 17 | ((22!/5!)/(17!))x((58!/57!)/(1!)) | 1,527,372 | 232,565,614,557.09 |
| 18 | ((22!/4!)/(18!))x((58!/58!)/(0!)) | 7,315 | 48,559,700,319,520.00 |
19 Spot
Formula for determining total possibilities - (80!/61!)/(19!) = 1,159,120,046,626,942,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/39!)/(19!)) | 947,309,492,837,400 | 1,223.59 |
| 1 | ((22!/21!)/(1!))x((58!/40!)/(18!)) | 9,899,384,200,150,830 | 117.09 |
| 2 | ((22!/20!)/(2!))x((58!/41!)/(17!)) | 45,633,746,678,744,070 | 25.40 |
| 3 | ((22!/19!)/(3!))x((58!/42!)/(16!)) | 123,138,681,514,071,300 | 9.41 |
| 4 | ((22!/18!)/(4!))x((58!/43!)/(15!)) | 217,640,460,350,451,600 | 5.33 |
| 5 | ((22!/17!)/(5!))x((58!/44!)/(14!)) | 267,104,201,339,190,600 | 4.34 |
| 6 | ((22!/16!)/(6!))x((58!/45!)/(13!)) | 235,447,407,106,397,640 | 4.92 |
| 7 | ((22!/15!)/(7!))x((58!/46!)/(12!)) | 152,090,250,553,200,960 | 7.62 |
| 8 | ((22!/14!)/(8!))x((58!/47!)/(11!)) | 72,809,162,498,872,800 | 15.92 |
| 9 | ((22!/13!)/(9!))x((58!/48!)/(10!)) | 25,955,118,113,024,100 | 44.66 |
| 10 | ((22!/12!)/(10!))x((58!/49!)/(9!)) | 6,886,051,744,271,700 | 168.33 |
| 11 | ((22!/11!)/(11!))x((58!/50!)/(8!)) | 1,352,170,160,933,352 | 857.23 |
| 12 | ((22!/10!)/(12!))x((58!/51!)/(7!)) | 194,429,696,308,848 | 5,961.64 |
| 13 | ((22!/9!)/(13!))x((58!/52!)/(6!)) | 20,133,252,576,360 | 57,572.42 |
| 14 | ((22!/8!)/(14!))x((58!/53!)/(5!)) | 1,465,223,233,320 | 791,087.68 |
| 15 | ((22!/7!)/(15!))x((58!/54!)/(4!)) | 72,356,702,880 | 16,019,525.50 |
| 16 | ((22!/6!)/(16!))x((58!/55!)/(3!)) | 2,302,258,728 | 503,470,801.32 |
| 17 | ((22!/5!)/(17!))x((58!/56!)/(2!)) | 43,530,102 | 26,628,011,269.69 |
| 18 | ((22!/4!)/(18!))x((58!/57!)/(1!)) | 424,270 | 2,732,033,956,270.63 |
| 19 | ((22!/3!)/(19!))x((58!/58!)/(0!)) | 1,540 | 752,675,354,952,560.00 |
20 Spot
Formula for determining total possibilities - (80!/60!)/(20!) = 3,535,316,142,212,174,320.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/38!)/(20!)) | 1,847,253,511,032,930 | 1,913.82 |
| 1 | ((22!/21!)/(1!))x((58!/39!)/(19!)) | 20,840,808,842,422,800 | 169.63 |
| 2 | ((22!/20!)/(2!))x((58!/40!)/(18!)) | 103,943,534,101,583,715 | 34.01 |
| 3 | ((22!/19!)/(3!))x((58!/41!)/(17!)) | 304,224,977,858,293,800 | 11.62 |
| 4 | ((22!/18!)/(4!))x((58!/42!)/(16!)) | 584,908,737,191,838,675 | 6.04 |
| 5 | ((22!/17!)/(5!))x((58!/43!)/(15!)) | 783,505,657,261,625,760 | 4.51 |
| 6 | ((22!/16!)/(6!))x((58!/44!)/(14!)) | 756,795,237,127,706,700 | 4.67 |
| 7 | ((22!/15!)/(7!))x((58!/45!)/(13!)) | 538,165,501,957,480,320 | 6.57 |
| 8 | ((22!/14!)/(8!))x((58!/46!)/(12!)) | 285,169,219,787,251,800 | 12.40 |
| 9 | ((22!/13!)/(9!))x((58!/47!)/(11!)) | 113,258,697,220,468,800 | 31.21 |
| 10 | ((22!/12!)/(10!))x((58!/48!)/(10!)) | 33,741,653,546,931,330 | 104.78 |
| 11 | ((22!/11!)/(11!))x((58!/49!)/(9!)) | 7,512,056,448,296,400 | 470.62 |
| 12 | ((22!/10!)/(12!))x((58!/50!)/(8!)) | 1,239,489,313,968,906 | 2,852.24 |
| 13 | ((22!/9!)/(13!))x((58!/51!)/(7!)) | 149,561,304,852,960 | 23,637.91 |
| 14 | ((22!/8!)/(14!))x((58!/52!)/(6!)) | 12,942,805,227,660 | 273,149.14 |
| 15 | ((22!/7!)/(15!))x((58!/53!)/(5!)) | 781,452,391,104 | 4,524,032.66 |
| 16 | ((22!/6!)/(16!))x((58!/54!)/(4!)) | 31,656,057,510 | 111,678,977.75 |
| 17 | ((22!/5!)/(17!))x((58!/55!)/(3!)) | 812,561,904 | 4,350,826,841.39 |
| 18 | ((22!/4!)/(18!))x((58!/56!)/(2!)) | 12,091,695 | 292,375,563,741.24 |
| 19 | ((22!/3!)/(19!))x((58!/57!)x(1!)) | 89,320 | 39,580,341,941,470.80 |
| 20 | ((22!/2!)/(20!))x((58!/58!)/(0!)) | 231 | 15,304,398,884,035,386.67 |
21 Spot
Formula for determining total possibilities - (80!/59!)/(21!) = 10,100,903,263,463,355,200.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/37!)/(21!)) | 3,342,649,210,440,540 | 3,021.83 |
| 1 | ((22!/21!)/(1!))x((58!/38!)/(20!)) | 40,639,577,242,724,460 | 248.55 |
| 2 | ((22!/20!)/(2!))x((58!/39!)/(19!)) | 218,828,492,845,439,400 | 46.16 |
| 3 | ((22!/19!)/(3!))x((58!/40!)/(18!)) | 692,956,894,010,558,100 | 14.58 |
| 4 | ((22!/18!)/(4!))x((58!/41!)/(17!)) | 1,445,068,644,826,895,550 | 6.99 |
| 5 | ((22!/17!)/(5!))x((58!/42!)/(16!)) | 2,105,671,453,890,619,230 | 4.80 |
| 6 | ((22!/16!)/(6!))x((58!/43!)/(15!)) | 2,219,932,695,574,606,320 | 4.55 |
| 7 | ((22!/15!)/(7!))x((58!/44!)/(14!)) | 1,729,817,684,863,329,600 | 5.84 |
| 8 | ((22!/14!)/(8!))x((58!/45!)/(13!)) | 1,009,060,316,170,275,600 | 10.01 |
| 9 | ((22!/13!)/(9!))x((58!/46!)/(12!)) | 443,596,564,113,502,800 | 22.77 |
| 10 | ((22!/12!)/(10!))x((58!/47!)/(11!)) | 147,236,306,386,609,440 | 68.60 |
| 11 | ((22!/11!)/(11!))x((58!/48!)/(10!)) | 36,809,076,596,652,360 | 274.41 |
| 12 | ((22!/10!)/(12!))x((58!/49!)/(9!)) | 6,886,051,744,271,700 | 1,466.86 |
| 13 | ((22!/9!)/(13!))x((58!/50!)/(8!)) | 953,453,318,437,620 | 10,594.02 |
| 14 | ((22!/8!)/(14!))x((58!/51!)/(7!)) | 96,146,553,119,760 | 105,097.36 |
| 15 | ((22!/7!)/(15!))x((58!/52!)/(6!)) | 6,902,829,454,752 | 1,463,298.97 |
| 16 | ((22!/6!)/(16!))x((58!/53!)/(5!)) | 341,885,421,108 | 29,544,703.11 |
| 17 | ((22!/5!)/(17!))x((58!/54!)/(4!)) | 11,172,726,180 | 904,067,915.09 |
| 18 | ((22!/4!)/(18!))x((58!/55!)/(3!)) | 225,711,640 | 44,751,361,797.13 |
| 19 | ((22!/3!)/(19!))x((58!/56!)x(2!)) | 2,545,620 | 3,967,954,079,345.45 |
| 20 | ((22!/2!)/(20!))x((58!/57!)/(1!)) | 13,398 | 753,911,275,075,634.81 |
| 21 | ((22!/1!)/(21!))x((58!/58!)/(0!)) | 22 | 459,131,966,521,061,600.00 |
22 Spot
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((22!/22!)/(0!))x((58!/36!)/(22!)) | 5,621,728,217,559,090 | 4,818.59 |
| 1 | ((22!/21!)/(1!))x((58!/37!)/(21!)) | 73,538,282,629,691,880 | 368.36 |
| 2 | ((22!/20!)/(2!))x((58!/38!)/(20!)) | 426,715,561,048,606,830 | 63.48 |
| 3 | ((22!/19!)/(3!))x((58!/39!)/(19!)) | 1,458,856,618,969,596,000 | 18.57 |
| 4 | ((22!/18!)/(4!))x((58!/40!)/(18!)) | 3,291,545,246,550,150,975 | 8.23 |
| 5 | ((22!/17!)/(5!))x((58!/41!)/(17!)) | 5,202,247,121,376,823,980 | 5.21 |
| 6 | ((22!/16!)/(6!))x((58!/42!)/(16!)) | 5,966,069,119,356,754,485 | 4.54 |
| 7 | ((22!/15!)/(7!))x((58!/43!)/(15!)) | 5,074,131,875,599,100,160 | 5.34 |
| 8 | ((22!/14!)/(8!))x((58!/44!)/(14!)) | 3,243,408,159,118,743,000 | 8.35 |
| 9 | ((22!/13!)/(9!))x((58!/45!)/(13!)) | 1,569,649,380,709,317,600 | 17.26 |
| 10 | ((22!/12!)/(10!))x((58!/46!)/(12!)) | 576,675,533,347,553,640 | 46.97 |
| 11 | ((22!/11!)/(11!))x((58!/47!)/(11!)) | 160,621,425,149,028,480 | 168.65 |
| 12 | ((22!/10!)/(12!))x((58!/48!)/(10!)) | 33,741,653,546,931,330 | 802.83 |
| 13 | ((22!/9!)/(13!))x((58!/49!)/(9!)) | 5,296,962,880,209,000 | 5,114.02 |
| 14 | ((22!/8!)/(14!))x((58!/50!)/(8!)) | 612,934,276,138,470 | 44,195.25 |
| 15 | ((22!/7!)/(15!))x((58!/51!)/(7!)) | 51,278,161,663,872 | 528,271.40 |
| 16 | ((22!/6!)/(16!))x((58!/52!)/(6!)) | 3,019,987,886,454 | 8,969,832.68 |
| 17 | ((22!/5!)/(17!))x((58!/53!)/(5!)) | 120,665,442,744 | 224,494,978.92 |
| 18 | ((22!/4!)/(18!))x((58!/54!)/(4!)) | 3,103,535,050 | 8,728,364,780.27 |
| 19 | ((22!/3!)/(19!))x((58!/55!)x(3!)) | 47,518,240 | 570,071,324,711.16 |
| 20 | ((22!/2!)/(20!))x((58!/56!)/(2!)) | 381,843 | 70,942,209,297,388.28 |
| 21 | ((22!/1!)/(21!))x((58!/57!)/(1!)) | 1,276 | 21,229,456,132,243,433.89 |
| 22 | ((22!/0!)/(22!))x((58!/58!)/(0!)) | 1 | 27,088,786,024,742,634,400.00 |
Top/Bottom, Left/Right and Odd/Even
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.
Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 40 | ((40!/40!)/(0!))x((40!/18!)/(22!)) | 113,380,261,800 | 238,919,769.58 |
| 1 of 40 | ((40!/39!)/(1!))x((40!/19!)/(21!)) | 5,251,296,336,000 | 5,158,495.03 |
| 2 of 40 | ((40!/38!)/(2!))x((40!/20!)/(20!)) | 107,520,292,479,600 | 251,941.15 |
| 3 of 40 | ((40!/37!)/(3!))x((40!/21!)/(19!)) | 1,297,070,194,992,000 | 20,884.60 |
| 4 of 40 | ((40!/36!)/(4!))x((40!/22!)/(18!)) | 10,361,822,125,902,000 | 2,614.29 |
| 5 of 40 | ((40!/35!)/(5!))x((40!/23!)/(17!)) | 58,386,615,109,430,400 | 463.96 |
| 6 of 40 | ((40!/34!)/(6!))x((40!/24!)/(16!)) | 241,250,249,931,327,000 | 112.29 |
| 7 of 40 | ((40!/33!)/(7!))x((40!/25!)/(15!)) | 749,943,634,072,239,360 | 36.12 |
| 8 of 40 | ((40!/32!)/(8!))x((40!/26!)/(14!)) | 1,784,721,629,162,300,400 | 15.18 |
| 9 of 40 | ((40!/31!)/(9!))x((40!/27!)/(13!)) | 3,290,350,987,097,574,400 | 8.23 |
| 10 of 40 | ((40!/30!)/(10!))x((40!/28!)/(12!)) | 4,735,755,170,715,437,440 | 5.72 |
| 11 of 40 | ((40!/29!)/(11!))x((40!/29!)/(11!)) | 5,344,425,897,986,073,600 | 5.07 |
| 12 of 40 | ((40!/28!)/(12!))x((40!/30!)/(10!)) | 4,735,755,170,715,437,440 | 5.72 |
| 13 of 40 | ((40!/27!)/(13!))x((40!/31!)/(9!)) | 3,290,350,987,097,574,400 | 8.23 |
| 14 of 40 | ((40!/26!)/(14!))x((40!/32!)/(8!)) | 1,784,721,629,162,300,400 | 15.18 |
| 15 of 40 | ((40!/25!)/(15!))x((40!/33!)/(7!)) | 749,943,634,072,239,360 | 36.12 |
| 16 of 40 | ((40!/24!)/(16!))x((40!/34!)/(6!)) | 241,250,249,931,327,000 | 112.29 |
| 17 of 40 | ((40!/23!)/(17!))x((40!/35!)/(5!)) | 58,386,615,109,430,400 | 463.96 |
| 18 of 40 | ((40!/22!)/(18!))x((40!/36!)/(4!)) | 10,361,822,125,902,000 | 2,614.29 |
| 19 of 40 | ((40!/21!)/(19!))x((40!/37!)/(2!)) | 1,297,070,194,992,000 | 20,884.60 |
| 20 of 40 | ((40!/20!)/(20!))x((40!/38!)/(2!)) | 107,520,292,479,600 | 251,941.15 |
| 21 of 40 | ((40!/19!)/(21!))x((40!/39!)/(1!)) | 5,251,296,336,000 | 5,158,495.03 |
| 22 of 40 | ((40!/18!)/(22!))x((40!/40!)/(0!)) | 113,380,261,800 | 238,919,769.58 |
Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 10 or 12 spots on top or bottom, left or right, and odd or even (or combinations like 9-13, 8-14, 7-15, 6-16, 5-17, 4-18, 3-19, 2-20, 1-21 and 0-22), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 11, however, is unique.
Top, Middle or Bottom
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.
Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 11 numbers will fall on either side of the board.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| <11 of 22 | (Calculated) | 10,872,180,063,378,280,400 | 2.49 |
| 11 of 22 | ((40!/29!)/(11!))x((40!/29!)/(11!)) | 5,344,425,897,986,073,600 | 5.07 |
| >11 of 22 | (Calculated) | 10,872,180,063,378,280,400 | 2.49 |
Edge and Inside/Outside
The 80-number Keno board can be displayed with eight rows of ten numbers each or ten rows of eight numbers each. In either case the edge will consist of 32 numbers.
Formula for determining total possibilities - (80!/58!)/(22!) = 27,088,786,024,742,634,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 32 | ((32!/32!)/(0!))x((48!/26!)/(22!)) | 27,385,657,281,648 | 989,159.61 |
| 1 of 32 | ((32!/31!)/(1!))x((48!/27!)/(21!)) | 714,055,656,528,896 | 37,936.52 |
| 2 of 32 | ((32!/30!)/(2!))x((48!/28!)/(20!)) | 8,300,897,007,148,416 | 3,263.36 |
| 3 of 32 | ((32!/29!)/(3!))x((48!/29!)/(19!)) | 57,247,565,566,540,800 | 473.19 |
| 4 of 32 | ((32!/28!)/(4!))x((48!/30!)/(18!)) | 262,861,738,559,699,840 | 103.05 |
| 5 of 32 | ((32!/27!)/(5!))x((48!/31!)/(17!)) | 854,724,620,865,088,512 | 31.69 |
| 6 of 32 | ((32!/26!)/(6!))x((48!/32!)/(16!)) | 2,043,326,046,755,602,224 | 13.26 |
| 7 of 32 | ((32!/25!)/(7!))x((48!/33!)/(15!)) | 3,679,755,997,620,478,464 | 7.36 |
| 8 of 32 | ((32!/24!)/(8!))x((48!/34!)/(14!)) | 5,073,193,011,425,292,000 | 5.34 |
| 9 of 32 | ((32!/23!)/(9!))x((48!/35!)/(13!)) | 5,411,405,878,853,644,800 | 5.01 |
| 10 of 32 | ((32!/22!)/(10!))x((48!/36!)/(12!)) | 4,494,473,216,047,888,320 | 6.03 |
| 11 of 32 | ((32!/21!)/(11!))x((48!/37!)/(11!)) | 2,915,333,977,977,008,640 | 9.29 |
| 12 of 32 | ((32!/20!)/(12!))x((48!/38!)/(10!)) | 1,476,846,817,790,984,640 | 18.34 |
| 13 of 32 | ((32!/19!)/(13!))x((48!/39!)/(9!)) | 582,582,571,120,704,000 | 46.50 |
| 14 of 32 | ((32!/18!)/(14!))x((48!/40!)/(8!)) | 177,895,749,395,786,400 | 152.27 |
| 15 of 32 | ((32!/17!)/(15!))x((48!/41!)/(7!)) | 41,653,638,882,915,840 | 650.33 |
| 16 of 32 | ((32!/16!)/(16!))x((48!/42!)/(6!)) | 7,376,165,218,849,680 | 3,672.48 |
| 17 of 32 | ((32!/15!)/(17!))x((48!/43!)/(5!)) | 968,689,276,346,880 | 27,964.37 |
| 18 of 32 | ((32!/14!)/(18!))x((48!/44!)/(4!)) | 91,731,939,048,000 | 295,303.75 |
| 19 of 32 | ((32!/13!)/(19!))x((48!/45!)/(3!)) | 6,008,173,785,600 | 4,508,655.54 |
| 20 of 32 | ((32!/12!)/(20!))x((48!/46!)/(2!)) | 254,694,323,520 | 106,358,028.13 |
| 21 of 32 | ((32!/11!)/(21!))x((48!/47!)/(1!)) | 6,193,175,040 | 4,373,973,906.73 |
| 22 of 32 | ((32!/10!)/(22!))x((48!/48!)/(0!)) | 64,512,240 | 419,901,495,045.63 |
Keno Computation Tables - 20 Numbers Drawn From a 70-Number Board
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.
1 Spot
Formula for determining total possibilities - (70!/69!)/(1!) = 70.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/49!)/(1!)) | 50 | 1.40 |
| 1 | ((20!/19!)/(1!))x((50!/50!)/(0!)) | 20 | 3.50 |
2 Spot
Formula for determining total possibilities - (70!/68!)/(2!) = 2,415.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/48!)/(2!)) | 1,225 | 1.97 |
| 1 | ((20!/19!)/(1!))x((50!/49!)/(1!)) | 1,000 | 2.42 |
| 2 | ((20!/18!)/(2!))x((50!/50!)/(0!)) | 190 | 12.71 |
3 Spot
Formula for determining total possibilities - (70!/67!)/(3!) = 54,740.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/47!)/(3!)) | 19,600 | 2.79 |
| 1 | ((20!/19!)/(1!))x((50!/48!)/(2!)) | 24,500 | 2.23 |
| 2 | ((20!/18!)/(2!))x((50!/49!)/(1!)) | 9,500 | 5.76 |
| 3 | ((20!/17!)/(3!))x((50!/50!)/(0!)) | 1,140 | 48.02 |
4 Spot
Formula for determining total possibilities - (70!/66!)/(4!) = 916,895.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/46!)/(4!)) | 230,300 | 3.98 |
| 1 | ((20!/19!)/(1!))x((50!/47!)/(3!)) | 392,000 | 2.34 |
| 2 | ((20!/18!)/(2!))x((50!/48!)/(2!)) | 232,750 | 3.94 |
| 3 | ((20!/17!)/(3!))x((50!/49!)/(1!)) | 57,000 | 16.09 |
| 4 | ((20!/16!)/(4!))x((50!/50!)/(0!)) | 4,845 | 189.25 |
5 Spot
Formula for determining total possibilities - (70!/65!)/(5!) = 12,013,014.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/45!)/(5!)) | 2,118,760 | 5.71 |
| 1 | ((20!/19!)/(1!))x((50!/46!)/(4!)) | 4,606,000 | 2.63 |
| 2 | ((20!/18!)/(2!))x((50!/47!)/(3!)) | 3,724,000 | 3.25 |
| 3 | ((20!/17!)/(3!))x((50!/48!)/(2!)) | 1,396,500 | 8.67 |
| 4 | ((20!/16!)/(4!))x((50!/49!)/(1!)) | 242,250 | 49.96 |
| 5 | ((20!/15!)/(5!))x((50!/50!)/(0!)) | 15,504 | 780.64 |
6 Spot
Formula for determining total possibilities - (70!/64!)/(6!) = 131,115,985.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/44!)/(6!)) | 15,890,700 | 8.25 |
| 1 | ((20!/19!)/(1!))x((50!/45!)/(5!)) | 42,375,200 | 3.09 |
| 2 | ((20!/18!)/(2!))x((50!/46!)/(4!)) | 43,757,000 | 3.00 |
| 3 | ((20!/17!)/(3!))x((50!/47!)/(3!)) | 22,344,000 | 5.87 |
| 4 | ((20!/16!)/(4!))x((50!/48!)/(2!)) | 5,935,125 | 22.09 |
| 5 | ((20!/15!)/(5!))x((50!/49!)/(1!)) | 775,200 | 169.14 |
| 6 | ((20!/14!)/(6!))x((50!/50!)/(0!)) | 38,760 | 3,382.77 |
7 Spot
Formula for determining total possibilities - (70!/63!)/(7!) = 1,198,774,720.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/43!)/(7!)) | 99,884,400 | 12.00 |
| 1 | ((20!/19!)/(1!))x((50!/44!)/(6!)) | 317,814,000 | 3.77 |
| 2 | ((20!/18!)/(2!))x((50!/45!)/(5!)) | 402,564,400 | 2.98 |
| 3 | ((20!/17!)/(3!))x((50!/46!)/(4!)) | 262,542,000 | 4.57 |
| 4 | ((20!/16!)/(4!))x((50!/47!)/(3!)) | 94,962,000 | 12.62 |
| 5 | ((20!/15!)/(5!))x((50!/48!)/(2!)) | 18,992,400 | 63.12 |
| 6 | ((20!/14!)/(6!))x((50!/49!)/(1!)) | 1,938,000 | 618.56 |
| 7 | ((20!/13!)/(7!))x((50!/50!)/(0!)) | 77,520 | 15,464.07 |
8 Spot
Formula for determining total possibilities - (70!/62!)/(8!) = 9,440,350,920.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/42!)/(8!)) | 536,878,650 | 17.58 |
| 1 | ((20!/19!)/(1!))x((50!/43!)/(7!)) | 1,997,688,000 | 4.73 |
| 2 | ((20!/18!)/(2!))x((50!/44!)/(6!)) | 3,019,233,000 | 3.13 |
| 3 | ((20!/17!)/(3!))x((50!/45!)/(5!)) | 2,415,386,400 | 3.91 |
| 4 | ((20!/16!)/(4!))x((50!/46!)/(4!)) | 1,115,803,500 | 8.46 |
| 5 | ((20!/15!)/(5!))x((50!/47!)/(3!)) | 303,878,400 | 31.07 |
| 6 | ((20!/14!)/(6!))x((50!/48!)/(2!)) | 47,481,000 | 198.82 |
| 7 | ((20!/13!)/(7!))x((50!/49!)/(1!)) | 3,876,000 | 2,435.59 |
| 8 | ((20!/12!)/(8!))x((50!/50!)/(0!)) | 125,970 | 74,941.26 |
9 Spot
Formula for determining total possibilities - (70!/61!)/(9!) = 65,033,528,560.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/41!)/(9!)) | 2,505,433,700 | 25.96 |
| 1 | ((20!/19!)/(1!))x((50!/42!)/(8!)) | 10,737,573,000 | 6.06 |
| 2 | ((20!/18!)/(2!))x((50!/43!)/(7!)) | 18,978,036,000 | 3.43 |
| 3 | ((20!/17!)/(3!))x((50!/44!)/(6!)) | 18,115,398,000 | 3.59 |
| 4 | ((20!/16!)/(4!))x((50!/45!)/(5!)) | 10,265,392,200 | 6.34 |
| 5 | ((20!/15!)/(5!))x((50!/46!)/(4!)) | 3,570,571,200 | 18.21 |
| 6 | ((20!/14!)/(6!))x((50!/47!)/(3!)) | 759,696,000 | 85.60 |
| 7 | ((20!/13!)/(7!))x((50!/48!)/(2!)) | 94,962,000 | 684.84 |
| 8 | ((20!/12!)/(8!))x((50!/49!)/(1!)) | 6,298,500 | 10,325.24 |
| 9 | ((20!/11!)/(9!))x((50!/50!)/(0!)) | 167,960 | 387,196.53 |
10 Spot
Formula for determining total possibilities - (70!/60!)/(10!) = 396,704,524,216.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/40!)/(10!)) | 10,272,278,170 | 38.62 |
| 1 | ((20!/19!)/(1!))x((50!/41!)/(9!)) | 50,108,674,000 | 7.92 |
| 2 | ((20!/18!)/(2!))x((50!/42!)/(8!)) | 102,006,943,500 | 3.89 |
| 3 | ((20!/17!)/(3!))x((50!/43!)/(7!)) | 113,868,216,000 | 3.48 |
| 4 | ((20!/16!)/(4!))x((50!/44!)/(6!)) | 76,990,441,500 | 5.15 |
| 5 | ((20!/15!)/(5!))x((50!/45!)/(5!)) | 32,849,255,040 | 12.08 |
| 6 | ((20!/14!)/(6!))x((50!/46!)/(4!)) | 8,926,428,000 | 44.44 |
| 7 | ((20!/13!)/(7!))x((50!/47!)/(3!)) | 1,519,392,000 | 261.09 |
| 8 | ((20!/12!)/(8!))x((50!/48!)/(2!)) | 154,313,250 | 2,570.77 |
| 9 | ((20!/11!)/(9!))x((50!/49!)/(1!)) | 8,398,000 | 47,237.98 |
| 10 | ((20!/10!)/(10!))x((50!/50!)/(0!)) | 184,756 | 2,147,180.74 |
11 Spot
Formula for determining total possibilities - (70!/59!)/(11!) = 2,163,842,859,360.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/39!)/(11!)) | 37,353,738,800 | 57.93 |
| 1 | ((20!/19!)/(1!))x((50!/40!)/(10!)) | 205,445,563,400 | 10.53 |
| 2 | ((20!/18!)/(2!))x((50!/41!)/(9!)) | 476,032,403,000 | 4.55 |
| 3 | ((20!/17!)/(3!))x((50!/42!)/(8!)) | 612,041,661,000 | 3.54 |
| 4 | ((20!/16!)/(4!))x((50!/43!)/(7!)) | 483,939,918,000 | 4.47 |
| 5 | ((20!/15!)/(5!))x((50!/44!)/(6!)) | 246,369,412,800 | 8.78 |
| 6 | ((20!/14!)/(6!))x((50!/45!)/(5!)) | 82,123,137,600 | 26.35 |
| 7 | ((20!/13!)/(7!))x((50!/46!)/(4!)) | 17,852,856,000 | 121.20 |
| 8 | ((20!/12!)/(8!))x((50!/47!)/(3!)) | 2,469,012,000 | 876.40 |
| 9 | ((20!/11!)/(9!))x((50!/48!)/(2!)) | 205,751,000 | 10,516.80 |
| 10 | ((20!/10!)/(10!))x((50!/49!)/(1!)) | 9,237,800 | 234,237.90 |
| 11 | ((20!/9!)/(11!))x((50!/50!)/(0!)) | 167,960 | 12,883,084.42 |
12 Spot
Formula for determining total possibilities - (70!/58!)/(12!) = 10,638,894,058,520.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/38!)/(12!)) | 121,399,651,100 | 87.64 |
| 1 | ((20!/19!)/(1!))x((50!/39!)/(11!)) | 747,074,776,000 | 14.24 |
| 2 | ((20!/18!)/(2!))x((50!/40!)/(10!)) | 1,951,732,852,300 | 5.45 |
| 3 | ((20!/17!)/(3!))x((50!/41!)/(9!)) | 2,856,194,418,000 | 3.72 |
| 4 | ((20!/16!)/(4!))x((50!/42!)/(8!)) | 2,601,177,059,250 | 4.09 |
| 5 | ((20!/15!)/(5!))x((50!/43!)/(7!)) | 1,548,607,737,600 | 6.87 |
| 6 | ((20!/14!)/(6!))x((50!/44!)/(6!)) | 615,923,532,000 | 17.27 |
| 7 | ((20!/13!)/(7!))x((50!/45!)/(5!)) | 164,246,275,200 | 64.77 |
| 8 | ((20!/12!)/(8!))x((50!/46!)/(4!)) | 29,010,891,000 | 366.72 |
| 9 | ((20!/11!)/(9!))x((50!/47!)/(3!)) | 3,292,016,000 | 3,231.73 |
| 10 | ((20!/10!)/(10!))x((50!/48!)/(2!)) | 226,326,100 | 47,006.93 |
| 11 | ((20!/9!)/(11!))x((50!/49!)/(1!)) | 8,398,000 | 1,266,836.63 |
| 12 | ((20!/8!)/(12!))x((50!/50!)/(0!)) | 125,970 | 84,455,775.65 |
13 Spot
Formula for determining total possibilities - (70!/57!)/(13!) = 47,465,835,030,320.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/37!)/(13!)) | 354,860,518,600 | 133.76 |
| 1 | ((20!/19!)/(1!))x((50!/38!)/(12!)) | 2,427,993,022,000 | 19.55 |
| 2 | ((20!/18!)/(2!))x((50!/39!)/(11!)) | 7,097,210,372,000 | 6.69 |
| 3 | ((20!/17!)/(3!))x((50!/40!)/(10!)) | 11,710,397,113,800 | 4.05 |
| 4 | ((20!/16!)/(4!))x((50!/41!)/(9!)) | 12,138,826,276,500 | 3.91 |
| 5 | ((20!/15!)/(5!))x((50!/42!)/(8!)) | 8,323,766,589,600 | 5.70 |
| 6 | ((20!/14!)/(6!))x((50!/43!)/(7!)) | 3,871,519,344,000 | 12.26 |
| 7 | ((20!/13!)/(7!))x((50!/44!)/(6!)) | 1,231,847,064,000 | 38.53 |
| 8 | ((20!/12!)/(8!))x((50!/45!)/(5!)) | 266,900,197,200 | 177.84 |
| 9 | ((20!/11!)/(9!))x((50!/46!)/(4!)) | 38,681,188,000 | 1,227.10 |
| 10 | ((20!/10!)/(10!))x((50!/47!)/(3!)) | 3,621,217,600 | 13,107.70 |
| 11 | ((20!/9!)/(11!))x((50!/48!)/(2!)) | 205,751,000 | 230,695.53 |
| 12 | ((20!/8!)/(12!))x((50!/49!)/(1!)) | 6,298,500 | 7,536,053.83 |
| 13 | ((20!/7!)/(13!))x((50!/50!)/(0!)) | 77,520 | 612,304,373.46 |
14 Spot
Formula for determining total possibilities - (70!/56!)/(14!) = 193,253,756,909,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/36!)/(14!)) | 937,845,656,300 | 206.60 |
| 1 | ((20!/19!)/(1!))x((50!/37!)/(13!)) | 7,097,210,372,000 | 27.23 |
| 2 | ((20!/18!)/(2!))x((50!/38!)/(12!)) | 23,065,933,709,000 | 8.38 |
| 3 | ((20!/17!)/(3!))x((50!/39!)/(11!)) | 42,583,262,232,000 | 4.54 |
| 4 | ((20!/16!)/(4!))x((50!/40!)/(10!)) | 49,769,187,733,650 | 3.88 |
| 5 | ((20!/15!)/(5!))x((50!/41!)/(9!)) | 38,844,244,084,800 | 4.98 |
| 6 | ((20!/14!)/(8!))x((50!/42!)/(8!)) | 20,809,416,474,000 | 9.29 |
| 7 | ((20!/13!)/(7!))x((50!/43!)/(7!)) | 7,743,038,688,000 | 24.96 |
| 8 | ((20!/12!)/(8!))x((50!/44!)/(6!)) | 2,001,751,479,000 | 96.54 |
| 9 | ((20!/11!)/(9!))x((50!/45!)/(5!)) | 355,866,929,600 | 543.05 |
| 10 | ((20!/10!)/(10!))x((50!/46!)/(4!)) | 42,549,306,800 | 4,541.88 |
| 11 | ((20!/9!)/(11!))x((50!/47!)/(3!)) | 3,292,016,000 | 58,703.77 |
| 12 | ((20!/8!)/(12!))x((50!/48!)/(2!)) | 154,313,250 | 1,252,347.14 |
| 13 | ((20!/7!)/(13!))x((50!/49!)/(1!)) | 3,876,000 | 49,859,070.41 |
| 14 | ((20!/6!)/(14!))x((50!/50!)/(0!)) | 38,760 | 4,985,907,041.00 |
15 Spot
Formula for determining total possibilities - (70!/55!)/(15!) = 721,480,692,460,864.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/35!)/(15!)) | 2,250,829,575,120 | 320.54 |
| 1 | ((20!/19!)/(1!))x((50!/36!)/(14!)) | 18,756,913,126,000 | 38.46 |
| 2 | ((20!/18!)/(2!))x((50!/37!)/(13!)) | 67,243,498,534,000 | 10.70 |
| 3 | ((20!/17!)/(3!))x((50!/38!)/(12!)) | 138,395,602,254,000 | 5.21 |
| 4 | ((20!/16!)/(4!))x((50!/39!)/(11!)) | 180,978,864,486,000 | 3.88 |
| 5 | ((20!/15!)/(5!))x((50!/40!)/(10!)) | 159,261,400,747,680 | 4.53 |
| 6 | ((20!/14!)/(6!))x((50!/41!)/(9!)) | 97,110,610,212,000 | 7.43 |
| 7 | ((20!/13!)/(7!))x((50!/42!)/(8!)) | 41,618,832,948,000 | 17.34 |
| 8 | ((20!/12!)/(8!))x((50!/43!)/(7!)) | 12,582,437,868,000 | 57.34 |
| 9 | ((20!/11!)/(9!))x((50!/44!)/(6!)) | 2,669,001,972,000 | 270.32 |
| 10 | ((20!/10!)/(10!))x((50!/45!)/(5!)) | 391,453,622,560 | 1,843.08 |
| 11 | ((20!/9!)/(11!))x((50!/46!)/(4!)) | 38,681,188,000 | 18,651.98 |
| 12 | ((20!/8!)/(12!))x((50!/47!)/(3!)) | 2,469,012,000 | 292,214.33 |
| 13 | ((20!/7!)/(13!))x((50!/48!)/(2!)) | 94,962,000 | 7,597,572.63 |
| 14 | ((20!/6!)/(14!))x((50!/49!)/(1!)) | 1,938,000 | 372,281,059.06 |
| 15 | ((20!/5!)/(15!))x((50!/50!)/(0!)) | 15,504 | 46,535,132,382.67 |
16 Spot
Formula for determining total possibilities - (70!/54!)/(16!) = 2,480,089,880,334,220.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/34!)/(16!)) | 4,923,689,695,575 | 503.71 |
| 1 | ((20!/19!)/(1!))x((50!/35!)/(15!)) | 45,016,591,502,400 | 55.09 |
| 2 | ((20!/18!)/(2!))x((50!/36!)/(14!)) | 178,190,674,697,000 | 13.92 |
| 3 | ((20!/17!)/(3!))x((50!/37!)/(13!)) | 404,540,991,204,000 | 6.13 |
| 4 | ((20!/16!)/(4!))x((50!/38!)/(12!)) | 588,181,309,579,500 | 4.22 |
| 5 | ((20!/15!)/(5!))x((50!/39!)/(11!)) | 579,132,366,355,200 | 4.28 |
| 6 | ((20!/14!)/(6!))x((50!/40!)/(10!)) | 398,153,501,869,200 | 6.23 |
| 7 | ((20!/13!)/(7!))x((50!/41!)/(9!)) | 194,221,220,424,000 | 12.77 |
| 8 | ((20!/12!)/(8!))x((50!/42!)/(8!)) | 67,630,603,540,500 | 36.67 |
| 9 | ((20!/11!)/(9!))x((50!/43!)/(7!)) | 16,776,583,824,000 | 147.83 |
| 10 | ((20!/10!)/(10!))x((50!/44!)/(6!)) | 2,935,902,169,200 | 844.75 |
| 11 | ((20!/9!)/(11!))x((50!/45!)/(5!)) | 355,866,929,600 | 6,969.15 |
| 12 | ((20!/8!)/(12!))x((50!/46!)/(4!)) | 29,010,891,000 | 85,488.24 |
| 13 | ((20!/7!)/(13!))x((50!/47!)/(3!)) | 1,519,392,000 | 1,632,291.00 |
| 14 | ((20!/6!)/(14!))x((50!/48!)/(2!)) | 47,481,000 | 52,233,311.86 |
| 15 | ((20!/5!)/(15!))x((50!/49!)/(1!)) | 775,200 | 3,199,290,351.31 |
| 16 | ((20!/4!)/(16!))x((50!/50!)/(0!)) | 4,845 | 511,886,456,209.33 |
17 Spot
Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,640.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/33!)/(17!)) | 9,847,379,391,150 | 800.00 |
| 1 | ((20!/19!)/(1!))x((50!/34!)/(16!)) | 98,473,793,911,500 | 80.00 |
| 2 | ((20!/18!)/(2!))x((50!/35!)/(15!)) | 427,657,619,272,800 | 18.42 |
| 3 | ((20!/17!)/(3!))x((50!/36!)/(14!)) | 1,069,144,048,182,000 | 7.37 |
| 4 | ((20!/16!)/(4!))x((50!/37!)/(13!)) | 1,719,299,212,617,000 | 4.58 |
| 5 | ((20!/15!)/(5!))x((50!/38!)/(12!)) | 1,882,180,190,654,400 | 4.19 |
| 6 | ((20!/14!)/(6!))x((50!/39!)/(11!)) | 1,447,830,915,888,000 | 5.44 |
| 7 | ((20!/13!)/(7!))x((50!/40!)/(10!)) | 796,307,003,738,400 | 9.89 |
| 8 | ((20!/12!)/(8!))x((50!/41!)/(9!)) | 315,609,483,189,000 | 24.96 |
| 9 | ((20!/11!)/(9!))x((50!/42!)/(8!)) | 90,174,138,054,000 | 87.36 |
| 10 | ((20!/10!)/(10!))x((50!/43!)/(7!)) | 18,454,242,206,400 | 426.89 |
| 11 | ((20!/9!)/(11!))x((50!/44!)/(6!)) | 2,669,001,972,000 | 2,951.64 |
| 12 | ((20!/8!)/(12!))x((50!/45!)/(5!)) | 266,900,197,200 | 29,516.40 |
| 13 | ((20!/7!)/(13!))x((50!/46!)/(4!)) | 17,852,856,000 | 441,270.16 |
| 14 | ((20!/6!)/(14!))x((50!/47!)/(3!)) | 759,696,000 | 10,369,848.68 |
| 15 | ((20!/5!)/(15!))x((50!/48!)/(2!)) | 18,992,400 | 414,793,947.11 |
| 16 | ((20!/4!)/(16!))x((50!/49!)/(1!)) | 242,250 | 32,519,845,453.50 |
| 17 | ((20!/3!)/(17!))x((50!/50!)/(0!)) | 1,140 | 6,910,467,158,826.00 |
18 Spot
Formula for determining total possibilities - (70!/52!)/(18!) = 23,196,134,763,125,940.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/32!)/(18!)) | 18,053,528,883,775 | 1,284.85 |
| 1 | ((20!/19!)/(1!))x((50!/33!)/(17!)) | 196,947,587,823,000 | 117.78 |
| 2 | ((20!/18!)/(2!))x((50!/34!)/(16!)) | 935,501,042,159,250 | 24.80 |
| 3 | ((20!/17!)/(3!))x((50!/35!)/(15!)) | 2,565,945,715,636,800 | 9.04 |
| 4 | ((20!/16!)/(4!))x((50!/36!)/(14!)) | 4,543,862,204,773,500 | 5.10 |
| 5 | ((20!/15!)/(5!))x((50!/37!)/(13!)) | 5,501,757,480,374,400 | 4.22 |
| 6 | ((20!/14!)/(6!))x((50!/38!)/(12!)) | 4,705,450,476,636,000 | 4.93 |
| 7 | ((20!/13!)/(7!))x((50!/39!)/(11!)) | 2,895,661,831,776,000 | 8.01 |
| 8 | ((20!/12!)/(8!))x((50!/40!)/(10!)) | 1,293,998,881,074,900 | 17.93 |
| 9 | ((20!/11!)/(9!))x((50!/41!)/(9!)) | 420,812,644,252,000 | 55.12 |
| 10 | ((20!/10!)/(10!))x((50!/42!)/(8!)) | 99,191,551,859,400 | 233.85 |
| 11 | ((20!/9!)/(11!))x((50!/43!)/(7!)) | 16,776,583,824,000 | 1,382.65 |
| 12 | ((20!/8!)/(12!))x((50!/44!)/(6!)) | 2,001,751,479,000 | 11,587.92 |
| 13 | ((20!/7!)/(13!))x((50!/45!)/(5!)) | 164,246,275,200 | 141,277.77 |
| 14 | ((20!/6!)/(14!))x((50!/46!)/(4!)) | 8,926,428,000 | 2,598,590.92 |
| 15 | ((20!/5!)/(15!))x((50!/47!)/(3!)) | 303,878,400 | 76,333,608.32 |
| 16 | ((20!/4!)/(16!))x((50!/48!)/(2!)) | 5,935,125 | 3,908,280,746.09 |
| 17 | ((20!/3!)/(17!))x((50!/49!)/(1!)) | 57,000 | 406,949,732,686.42 |
| 18 | ((20!/2!)/(18!))x((60!/60!)/(0!)) | 190 | 122,084,919,805,926.00 |
19 Spot
Formula for determining total possibilities - (70!/51!)/(19!) = 63,484,158,299,081,520.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/31!)/(19!)) | 30,405,943,383,200 | 2,087.89 |
| 1 | ((20!/19!)/(1!))x((50!/32!)/(18!)) | 361,070,577,675,500 | 175.82 |
| 2 | ((20!/18!)/(2!))x((50!/33!)/(17!)) | 1,871,002,084,318,500 | 33.93 |
| 3 | ((20!/17!)/(3!))x((50!/34!)/(16!)) | 5,613,006,252,955,500 | 11.31 |
| 4 | ((20!/16!)/(4!))x((50!/35!)/(15!)) | 10,905,269,291,456,400 | 5.82 |
| 5 | ((20!/15!)/(5!))x((50!/36!)/(14!)) | 14,540,359,055,275,200 | 4.37 |
| 6 | ((20!/14!)/(6!))x((50!/37!)/(13!)) | 13,754,393,700,936,000 | 4.62 |
| 7 | ((20!/13!)/(7!))x((50!/38!)/(12!)) | 9,410,900,953,272,000 | 6.75 |
| 8 | ((20!/12!)/(8!))x((50!/39!)/(11!)) | 4,705,450,476,636,000 | 13.49 |
| 9 | ((20!/11!)/(9!))x((50!/40!)/(10!)) | 1,725,331,841,433,200 | 36.80 |
| 10 | ((20!/10!)/(10!))x((50!/41!)/(9!)) | 462,893,908,677,200 | 137.15 |
| 11 | ((20!/9!)/(11!))x((50!/42!)/(8!)) | 90,174,138,054,000 | 704.02 |
| 12 | ((20!/8!)/(12!))x((50!/43!)/(7!)) | 12,582,437,868,000 | 5,045.46 |
| 13 | ((20!/7!)/(13!))x((50!/44!)/(6!)) | 1,231,847,064,000 | 51,535.75 |
| 14 | ((20!/6!)/(14!))x((50!/45!)/(5!)) | 82,123,137,600 | 773,036.20 |
| 15 | ((20!/5!)/(15!))x((50!/46!)/(4!)) | 3,570,571,200 | 17,779,832.62 |
| 16 | ((20!/4!)/(16!))x((50!/47!)/(3!)) | 94,962,000 | 668,521,706.57 |
| 17 | ((20!/3!)/(17!))x((50!/48!)/(2!)) | 1,396,500 | 45,459,476,046.60 |
| 18 | ((20!/2!)/(18!))x((50!/49!)/(1!)) | 9,500 | 6,682,542,978,850.69 |
| 19 | ((20!/1!)/(19!))x((50!/50!)/(0!)) | 20 | 3,174,207,914,954,076.00 |
20 Spot
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((20!/20!)/(0!))x((50!/30!)/(20!)) | 47,129,212,243,960 | 3,431.91 |
| 1 | ((20!/19!)/(1!))x((50!/31!)/(19!)) | 608,118,867,664,000 | 266.21 |
| 2 | ((20!/18!)/(2!))x((50!/32!)/(18!)) | 3,430,170,487,917,250 | 47.19 |
| 3 | ((20!/17!)/(3!))x((50!/33!)/(17!)) | 11,226,012,505,911,000 | 14.42 |
| 4 | ((20!/16!)/(4!))x((50!/34!)/(16!)) | 23,855,276,575,060,875 | 6.79 |
| 5 | ((20!/15!)/(5!))x((50!/35!)/(15!)) | 34,896,861,732,660,480 | 4.64 |
| 6 | ((20!/14!)/(6!))x((50!/36!)/(14!)) | 36,350,897,638,188,000 | 4.45 |
| 7 | ((20!/13!)/(7!))x((50!/37!)/(13!)) | 27,508,787,401,872,000 | 5.88 |
| 8 | ((20!/12!)/(8!))x((50!/38!)/(12!)) | 15,292,714,049,067,000 | 10.59 |
| 9 | ((20!/11!)/(9!))x((50!/39!)/(11!)) | 6,273,933,968,848,000 | 24.80 |
| 10 | ((20!/10!)/(10!))x((50!/40!)/(10!)) | 1,897,865,025,576,520 | 85.30 |
| 11 | ((20!/9!)/(11!))x((50!/41!)/(9!)) | 420,812,644,252,000 | 384.70 |
| 12 | ((20!/8!)/(12!))x((50!/42!)/(8!)) | 67,630,603,540,500 | 2,393.66 |
| 13 | ((20!/7!)/(13!))x((50!/43!)/(7!)) | 7,743,038,688,000 | 20,907.12 |
| 14 | ((20!/6!)/(14!))x((50!/44!)/(6!)) | 615,923,532,000 | 262,832.31 |
| 15 | ((20!/5!)/(15!))x((50!/45!)/(5!)) | 32,849,255,040 | 4,928,105.78 |
| 16 | ((20!/4!)/(16!))x((50!/46!)/(4!)) | 1,115,803,500 | 145,083,434.19 |
| 17 | ((20!/3!)/(17!))x((50!/47!)/(3!)) | 22,344,000 | 7,245,103,994.93 |
| 18 | ((20!/2!)/(18!))x((50!/48!)/(2!)) | 232,750 | 695,529,983,513.03 |
| 19 | ((20!/1!)/(19!))x((50!/49!)x(1!)) | 1,000 | 161,884,603,662,657.88 |
| 20 | ((20!/0!)/(20!))x((50!/50!)/(0!)) | 1 | 161,884,603,662,657,876.00 |
Top/Bottom, Left/Right and Odd/Even
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.
Some games will give the player the option of splitting the playslip in half, (either horizontally or vertically, depending on how the playslip is configured) and pay according to the distribution of drawn numbers in any half. Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 35 | ((35!/35!)/(0!))x((35!/15!)/(20!)) | 3,247,943,160 | 49,842,191.10 |
| 1 of 35 | ((35!/34!)/(1!))x((35!/16!)/(19!)) | 142,097,513,250 | 1,139,250.08 |
| 2 of 35 | ((35!/33!)/(2!))x((35!/17!)/(18!)) | 2,699,852,751,750 | 59,960.53 |
| 3 of 35 | ((35!/32!)/(3!))x((35!/18!)/(17!)) | 29,698,380,269,250 | 5,450.96 |
| 4 of 35 | ((35!/31!)/(4!))x((35!/19!)/(16!)) | 212,577,879,822,000 | 761.53 |
| 5 of 35 | ((35!/30!)/(5!))x((35!/20!)/(15!)) | 1,054,386,283,917,120 | 153.53 |
| 6 of 35 | ((35!/29!)/(6!))x((35!/21!)/(14!)) | 3,765,665,299,704,000 | 42.99 |
| 7 of 35 | ((35!/28!)/(7!))x((35!/22!)/(13!)) | 9,927,663,062,856,000 | 16.31 |
| 8 of 35 | ((35!/27!)/(8!))x((35!/23!)/(12!)) | 19,639,507,363,476,000 | 8.24 |
| 9 of 35 | ((35!/26!)/(9!))x((35!/24!)/(11!)) | 29,459,261,045,214,000 | 5.50 |
| 10 of 35 | ((35!/25!)/(10!))x((35!/25!)/(10!)) | 33,701,394,635,724,816 | 4.80 |
| 11 of 35 | ((35!/24!)/(11!))x((35!/26!)/(9!)) | 29,459,261,045,214,000 | 5.50 |
| 12 of 35 | ((35!/23!)/(12!))x((35!/27!)/(8!)) | 19,639,507,363,476,000 | 8.24 |
| 13 of 35 | ((35!/22!)/(13!))x((35!/28!)/(7!)) | 9,927,663,062,856,000 | 16.31 |
| 14 of 35 | ((35!/21!)/(14!))x((35!/29!)/(6!)) | 3,765,665,299,704,000 | 42.99 |
| 15 of 35 | ((35!/20!)/(15!))x((35!/30!)/(5!)) | 1,054,386,283,917,120 | 153.53 |
| 16 of 35 | ((35!/19!)/(16!))x((35!/31!)/(4!)) | 212,577,879,822,000 | 761.53 |
| 17 of 35 | ((35!/18!)/(17!))x((35!/32!)/(3!)) | 29,698,380,269,250 | 5,450.96 |
| 18 of 35 | ((35!/17!)/(18!))x((35!/33!)/(2!)) | 2,699,852,751,750 | 59,960.53 |
| 19 of 35 | ((35!/16!)/(19!))x((35!/34!)/(1!)) | 142,097,513,250 | 1,139,250.08 |
| 20 of 35 | ((35!/15!)/(20!))x((35!/35!)/(0!)) | 3,247,943,160 | 49,842,191.10 |
Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 9 or 11 spots on top or bottom, left or right, and odd or even (or combinations like 8-12, 7-13, 6-14, 5-15, 4-16, 3-17, 2-18, 1-19 and 0-20), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 10, however, is unique.
Top, Middle or Bottom
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.
Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| <10 of 20 | (Calculated) | 64,091,604,513,466,530 | 2.53 |
| 10 of 20 | ((35!/25!)/(10!))x((35!/25!)/(10!)) | 33,701,394,635,724,816 | 4.80 |
| >10 of 20 | (Calculated) | 64,091,604,513,466,530 | 2.53 |
Edge and Inside/Outside
The 70-number Keno board can be displayed with seven rows of ten numbers each or ten rows of seven numbers each. In either case the outer edge (hence the name) will be composed of 30 numbers.
Formula for determining total possibilities - (70!/50!)/(20!) = 161,884,603,662,657,876.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 30 | ((30!/30!)/(0!))x((40!/20!)/(20!)) | 137,846,528,820 | 1,174,382.88 |
| 1 of 30 | ((30!/29!)/(1!))x((40!/21!)/(19!)) | 3,938,472,252,000 | 41,103.40 |
| 2 of 30 | ((30!/28!)/(2!))x((40!/22!)/(18!)) | 49,320,413,883,000 | 3,282.30 |
| 3 of 30 | ((30!/27!)/(3!))x((40!/23!)/(17!)) | 360,253,457,928,000 | 449.36 |
| 4 of 30 | ((30!/26!)/(4!))x((40!/24!)/(16!)) | 1,722,461,845,718,250 | 93.98 |
| 5 of 30 | ((30!/25!)/(5!))x((40!/25!)/(15!)) | 5,732,353,022,550,336 | 28.24 |
| 6 of 30 | ((30!/24!)/(6!))x((40!/26!)/(14!)) | 13,779,694,765,746,000 | 11.75 |
| 7 of 30 | ((30!/23!)/(7!))x((40!/27!)/(13!)) | 24,497,235,139,104,000 | 6.61 |
| 8 of 30 | ((30!/22!)/(8!))x((40!/28!)/(12!)) | 32,699,434,404,429,000 | 4.95 |
| 9 of 30 | ((30!/21!)/(9!))x((40!/29!)/(11!)) | 33,075,289,972,296,000 | 4.89 |
| 10 of 30 | ((30!/20!)/(10!))x((40!/30!)/(10!)) | 25,467,973,278,667,920 | 6.36 |
| 11 of 30 | ((30!/19!)/(11!))x((40!/31!)/(9!)) | 14,937,227,729,424,000 | 10.84 |
| 12 of 30 | ((30!/18!)/(12!))x((40!/32!)/(8!)) | 6,651,734,223,259,125 | 24.34 |
| 13 of 30 | ((30!/17!)/(13!))x((40!/33!)/(7!)) | 2,232,749,949,066,000 | 72.50 |
| 14 of 30 | ((30!/16!)/(14!))x((40!/34!)/(6!)) | 558,187,487,266,500 | 290.02 |
| 15 of 30 | ((30!/15!)/(15!))x((40!/35!)/(5!)) | 102,068,569,100,160 | 1,586.04 |
| 16 of 30 | ((30!/14!)/(16!))x((40!/36!)/(4!)) | 13,290,178,268,250 | 12,180.77 |
| 17 of 30 | ((30!/13!)/(17!))x((40!/37!)/(3!)) | 1,183,227,318,000 | 136,816.15 |
| 18 of 30 | ((30!/12!)/(18!))x((40!/38!)/(2!)) | 67,464,715,500 | 2,399,544.75 |
| 19 of 30 | ((30!/11!)/(19!))x((40!/39!)/(1!)) | 2,185,092,000 | 74,085,944.05 |
| 20 of 30 | ((30!/10!)/(20!))x((40!/40!)/(0!)) | 30,045,015 | 5,388,068,658.40 |
Keno Computation Tables - 17 Numbers Drawn From a 70-Number Board
Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.
1 Spot
Formula for determining total possibilities - (70!/69!)/(1!) = 70.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/52!)/(1!)) | 53 | 1.32 |
| 1 | ((17!/16!)/(1!))x((53!/53!)/(0!)) | 17 | 4.12 |
2 Spot
Formula for determining total possibilities - (70!/68!)/(2!) = 2,415.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/51!)/(2!)) | 1,378 | 1.75 |
| 1 | ((17!/16!)/(1!))x((53!/52!)/(1!)) | 901 | 2.68 |
| 2 | ((17!/15!)/(2!))x((53!/53!)/(0!)) | 136 | 17.76 |
3 Spot
Formula for determining total possibilities - (70!/67!)/(3!) = 54,740.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/50!)/(3!)) | 23,426 | 2.34 |
| 1 | ((17!/16!)/(1!))x((53!/51!)/(2!)) | 23,426 | 2.34 |
| 2 | ((17!/15!)/(2!))x((53!/52!)/(1!)) | 7,208 | 7.59 |
| 3 | ((17!/14!)/(3!))x((53!/53!)/(0!)) | 680 | 80.50 |
4 Spot
Formula for determining total possibilities - (70!/66!)/(4!) = 916,895.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/49!)/(4!)) | 292,825 | 3.13 |
| 1 | ((17!/16!)/(1!))x((53!/50!)/(3!)) | 398,242 | 2.30 |
| 2 | ((17!/15!)/(2!))x((53!/51!)/(2!)) | 187,408 | 4.89 |
| 3 | ((17!/14!)/(3!))x((53!/52!)/(1!)) | 36,040 | 25.44 |
| 4 | ((17!/13!)/(4!))x((53!/53!)/(0!)) | 2,380 | 385.25 |
5 Spot
Formula for determining total possibilities - (70!/65!)/(5!) = 12,013,014.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/48!)/(5!)) | 2,869,685 | 4.22 |
| 1 | ((17!/16!)/(1!))x((53!/49!)/(4!)) | 4,987,025 | 2.43 |
| 2 | ((17!/15!)/(2!))x((53!/50!)/(3!)) | 3,185,936 | 3.80 |
| 3 | ((17!/14!)/(3!))x((53!/51!)/(2!)) | 937,040 | 12.92 |
| 4 | ((17!/13!)/(4!))x((53!/52!)/(1!)) | 126,140 | 95.95 |
| 5 | ((17!/12!)/(5!))x((53!/53!)/(0!)) | 6,188 | 1,955.88 |
6 Spot
Formula for determining total possibilities - (70!/64!)/(6!) = 131,115,985.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/47!)/(6!)) | 22,957,480 | 5.71 |
| 1 | ((17!/16!)/(1!))x((53!/48!)/(5!)) | 48,784,645 | 2.69 |
| 2 | ((17!/15!)/(2!))x((53!/49!)/(4!)) | 39,824,200 | 3.29 |
| 3 | ((17!/14!)/(3!))x((53!/50!)/(3!)) | 15,929,680 | 8.23 |
| 4 | ((17!/13!)/(4!))x((53!/51!)/(2!)) | 3,279,640 | 39.98 |
| 5 | ((17!/12!)/(5!))x((53!/52!)/(1!)) | 327,964 | 399.79 |
| 6 | ((17!/11!)/(6!))x((53!/53!)/(0!)) | 12,376 | 10,594.38 |
7 Spot
Formula for determining total possibilities - (70!/63!)/(7!) = 1,198,774,720.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/46!)/(7!)) | 154,143,080 | 7.78 |
| 1 | ((17!/16!)/(1!))x((53!/47!)/(6!)) | 390,277,160 | 3.07 |
| 2 | ((17!/15!)/(2!))x((53!/48!)/(5!)) | 390,277,160 | 3.07 |
| 3 | ((17!/14!)/(3!))x((53!/49!)/(4!)) | 199,121,000 | 6.02 |
| 4 | ((17!/13!)/(4!))x((53!/50!)/(3!)) | 55,753,880 | 21.50 |
| 5 | ((17!/12!)/(5!))x((53!/51!)/(2!)) | 8,527,064 | 140.58 |
| 6 | ((17!/11!)/(6!))x((53!/52!)/(1!)) | 655,928 | 1,827.60 |
| 7 | ((17!/10!)/(7!))x((53!/53!)/(0!)) | 19,448 | 61,640.00 |
8 Spot
Formula for determining total possibilities - (70!/62!)/(8!) = 9,440,350,920.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/45!)/(8!)) | 886,322,710 | 10.65 |
| 1 | ((17!/16!)/(1!))x((53!/46!)/(7!)) | 2,620,432,360 | 3.60 |
| 2 | ((17!/15!)/(2!))x((53!/47!)/(6!)) | 3,122,217,280 | 3.02 |
| 3 | ((17!/14!)/(3!))x((53!/48!)/(5!)) | 1,951,385,800 | 4.84 |
| 4 | ((17!/13!)/(4!))x((53!/49!)/(4!)) | 696,923,900 | 13.55 |
| 5 | ((17!/12!)/(5!))x((53!/50!)/(3!)) | 144,960,088 | 65.12 |
| 6 | ((17!/11!)/(6!))x((53!/51!)/(2!)) | 17,054,128 | 553.55 |
| 7 | ((17!/10!)/(7!))x((53!/52!)/(1!)) | 1,030,744 | 9,158.77 |
| 8 | ((17!/9!)/(8!))x((53!/53!)/(0!)) | 24,310 | 388,332.00 |
9 Spot
Formula for determining total possibilities - (70!/61!)/(9!) = 65,033,528,560.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/44!)/(9!)) | 4,431,613,550 | 14.67 |
| 1 | ((17!/16!)/(1!))x((53!/45!)/(8!)) | 15,067,486,070 | 4.32 |
| 2 | ((17!/15!)/(2!))x((53!/46!)/(7!)) | 20,963,458,880 | 3.10 |
| 3 | ((17!/14!)/(3!))x((53!/47!)/(6!)) | 15,611,086,400 | 4.17 |
| 4 | ((17!/13!)/(4!))x((53!/48!)/(5!)) | 6,829,850,300 | 9.52 |
| 5 | ((17!/12!)/(5!))x((53!/49!)/(4!)) | 1,812,001,100 | 35.89 |
| 6 | ((17!/11!)/(6!))x((53!/50!)/(3!)) | 289,920,176 | 224.32 |
| 7 | ((17!/10!)/(7!))x((53!/51!)/(2!)) | 26,799,344 | 2,426,68 |
| 8 | ((17!/9!)/(8!))x((53!/52!)/(1!)) | 1,288,430 | 50,475.02 |
| 9 | ((17!/8!)/(9!))x((53!/53!)/(0!)) | 24,310 | 2,675,176.00 |
10 Spot
Formula for determining total possibilities - (70!/60!)/(10!) = 396,704,524,216.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/43!)/(10!)) | 19,499,099,620 | 20.34 |
| 1 | ((17!/16!)/(1!))x((53!/44!)/(9!)) | 75,337,430,350 | 5.27 |
| 2 | ((17!/15!)/(2!))x((53!/45!)/(8!)) | 120,539,888,560 | 3.29 |
| 3 | ((17!/14!)/(3!))x((53!/46!)/(7!)) | 104,817,294,400 | 3.78 |
| 4 | ((17!/13!)/(4!))x((53!/47!)/(6!)) | 54,638,802,400 | 7.26 |
| 5 | ((17!/12!)/(5!))x((53!/48!)/(5!)) | 17,757,610,780 | 22.34 |
| 6 | ((17!/11!)/(6!))x((53!/49!)/(4!)) | 3,624,002,200 | 109.47 |
| 7 | ((17!/10!)/(7!))x((53!/50!)/(3!)) | 455,588,848 | 870.75 |
| 8 | ((17!/9!)/(8!))x((53!/51!)/(2!)) | 33,499,180 | 11,842.22 |
| 9 | ((17!/8!)/(9!))x((53!/52!)/(1!)) | 1,288,430 | 307,897.62 |
| 10 | ((17!/7!)/(10!))x((53!/53!)/(0!)) | 19,448 | 20,398,217.00 |
11 Spot
Formula for determining total possibilities - (70!/59!)/(11!) = 2,163,842,859,360.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/42!)/(11!)) | 76,223,753,060 | 28.39 |
| 1 | ((17!/16!)/(1!))x((53!/43!)/(10!)) | 331,484,693,540 | 6.53 |
| 2 | ((17!/15!)/(2!))x((53!/44!)/(9!)) | 602,699,442,800 | 3.59 |
| 3 | ((17!/14!)/(3!))x((53!/45!)/(8!)) | 602,699,442,800 | 3.59 |
| 4 | ((17!/13!)/(4!))x((53!/46!)/(7!)) | 366,860,530,400 | 5.90 |
| 5 | ((17!/12!)/(5!))x((53!/47!)/(6!)) | 142,060,886,240 | 15.23 |
| 6 | ((17!/11!)/(6!))x((53!/48!)/(5!)) | 35,515,221,560 | 60.93 |
| 7 | ((17!/10!)/(7!))x((53!/49!)/(4!)) | 5,694,860,600 | 379.96 |
| 8 | ((17!/9!)/(8!))x((53!/50!)/(3!)) | 569,486,060 | 3,799.64 |
| 9 | ((17!/8!)/(9!))x((53!/51!)/(2!)) | 33,499,180 | 64,593.91 |
| 10 | ((17!/7!)/(10!))x((53!/52!)/(1!)) | 1,030,744 | 2,099,301.92 |
| 11 | ((17!/6!)/(11!))x((53!/53!)/(0!)) | 12,376 | 174,841,860.00 |
12 Spot
Formula for determining total possibilities - (70!/58!)/(12!) = 10,638,894,058,520.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/41!)/(12!)) | 266,783,135,710 | 39.88 |
| 1 | ((17!/16!)/(1!))x((53!/42!)/(11!)) | 1,295,803,802,020 | 8.21 |
| 2 | ((17!/15!)/(2!))x((53!/43!)/(10!)) | 2,651,877,548,320 | 4.01 |
| 3 | ((17!/14!)/(3!))x((53!/44!)/(9!)) | 3,013,497,214,000 | 3.53 |
| 4 | ((17!/13!)/(4!))x((53!/45!)/(8!)) | 2,109,448,049,800 | 5.04 |
| 5 | ((17!/12!)/(5!))x((53!/46!)/(7!)) | 953,837,379,040 | 11.15 |
| 6 | ((17!/11!)/(6!))x((53!/47!)/(6!)) | 284,121,772,480 | 37.44 |
| 7 | ((17!/10!)/(7!))x((53!/48!)/(5!)) | 55,809,633,880 | 190.63 |
| 8 | ((17!/9!)/(8!))x((53!/49!)/(4!)) | 7,118,575,750 | 1,494.53 |
| 9 | ((17!/8!)/(9!))x((53!/50!)/(3!)) | 569,486,060 | 18,681.57 |
| 10 | ((17!/7!)/(10!))x((53!/51!)/(2!)) | 26,799,344 | 396,983.38 |
| 11 | ((17!/6!)/(11!))x((53!/52!)/(1!)) | 655,928 | 16,219,606.51 |
| 12 | ((17!/5!)/(12!))x((53!/53!)/(0!)) | 6,188 | 1,719,278,290.00 |
13 Spot
Formula for determining total possibilities - (70!/57!)/(13!) = 47,465,835,030,320.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/40!)/(13!)) | 841,392,966,470 | 56.41 |
| 1 | ((17!/16!)/(1!))x((53!/41!)/(12!)) | 4,535,313,307,070 | 10.47 |
| 2 | ((17!/15!)/(2!))x((53!/42!)/(11!)) | 10,366,430,416,160 | 4.58 |
| 3 | ((17!/14!)/(3!))x((53!/43!)/(10!)) | 13,259,387,741,600 | 3.58 |
| 4 | ((17!/13!)/(4!))x((53!/44!)/(9!)) | 10,547,240,249,000 | 4.50 |
| 5 | ((17!/12!)/(5!))x((53!/45!)/(8!)) | 5,484,564,929,480 | 8.65 |
| 6 | ((17!/11!)/(6!))x((53!/46!)/(7!)) | 1,907,674,758,080 | 24.88 |
| 7 | ((17!/10!)/(7!))x((53!/47!)/(6!)) | 446,477,071,040 | 106.31 |
| 8 | ((17!/9!)/(8!))x((53!/48!)/(5!)) | 69,762,042,350 | 680.40 |
| 9 | ((17!/8!)/(9!))x((53!/49!)/(4!)) | 7,118,575,750 | 6,667.88 |
| 10 | ((17!/7!)/(10!))x((53!/50!)/(3!)) | 455,588,848 | 104,185.68 |
| 11 | ((17!/6!)/(11!))x((53!/51!)/(2!)) | 17,054,128 | 2,783,246.09 |
| 12 | ((17!/5!)/(12!))x((53!/52!)/(1!)) | 327,964 | 144,728,796.55 |
| 13 | ((17!/4!)/(13!))x((53!/53!)/(0!)) | 2,380 | 19,143,628,164.00 |
14 Spot
Formula for determining total possibilities - (70!/56!)/(14!) = 193,253,756,909,160.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/39!)/(14!)) | 2,403,979,904,200 | 80.39 |
| 1 | ((17!/16!)/(1!))x((53!/40!)/(13!)) | 14,303,680,429,990 | 13.51 |
| 2 | ((17!/16!)/(2!))x((53!/41!)/(12!)) | 36,282,506,456,560 | 5.33 |
| 3 | ((17!/14!)/(3!))x((53!/42!)/(11!)) | 51,832,152,080,800 | 3.73 |
| 4 | ((17!/13!)/(4!))x((53!/43!)/(10!)) | 46,407,857,095,600 | 4.16 |
| 5 | ((17!/12!)/(5!))x((53!/44!)/(9!)) | 27,422,824,647,400 | 7.05 |
| 6 | ((17!/11!)/(8!))x((53!/45!)/(8!)) | 10,969,129,858,960 | 17.62 |
| 7 | ((17!/10!)/(7!))x((53!/46!)/(7!)) | 2,997,774,619,840 | 64.47 |
| 8 | ((17!/9!)/(8!))x((53!/47!)/(6!)) | 558,096,338,800 | 346.27 |
| 9 | ((17!/8!)/(9!))x((53!/48!)/(5!)) | 69,762,042,350 | 2,770.18 |
| 10 | ((17!/7!)/(10!))x((53!/49!)/(4!)) | 5,694,860,600 | 33,934.77 |
| 11 | ((17!/6!)/(11!))x((53!/50!)/(3!)) | 289,920,176 | 666,575.74 |
| 12 | ((17!/5!)/(12!))x((53!/51!)/(2!)) | 8,527,064 | 22,663,575.28 |
| 13 | ((17!/4!)/(13!))x((53!/52!)/(1!)) | 126,140 | 1,532,057,689.15 |
| 14 | ((17!/3!)/(14!))x((53!/53!)/(0!)) | 680 | 284,196,701,337.00 |
15 Spot
Formula for determining total possibilities - (70!/55!)/(15!) = 721,480,692,460,864.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/38!)/(15!)) | 6,250,347,750,920 | 115.43 |
| 1 | ((17!/16!)/(1!))x((53!/39!)/(14!)) | 40,867,658,371,400 | 17.65 |
| 2 | ((17!/15!)/(2!))x((53!/40!)/(13!)) | 114,429,443,439,920 | 6.31 |
| 3 | ((17!/14!)/(3!))x((53!/41!)/(12!)) | 181,412,532,282,800 | 3.98 |
| 4 | ((17!/13!)/(4!))x((53!/42!)/(11!)) | 181,412,532,282,800 | 3.98 |
| 5 | ((17!/12!)/(5!))x((53!/43!)/(10!)) | 120,660,428,448,560 | 5.98 |
| 6 | ((17!/11!)/(6!))x((53!/44!)/(9!)) | 54,845,649,294,800 | 13.15 |
| 7 | ((17!/10!)/(7!))x((53!/45!)/(8!)) | 17,237,204,064,080 | 41.86 |
| 8 | ((17!/9!)/(8!))x((53!/46!)/(7!)) | 3,747,218,274,800 | 192.54 |
| 9 | ((17!/8!)/(9!))x((53!/47!)/(6!)) | 558,096,338,800 | 1,292.75 |
| 10 | ((17!/7!)/(10!))x((53!/48!)/(5!)) | 55,809,633,880 | 12,927.53 |
| 11 | ((17!/6!)/(11!))x((53!/49!)/(4!)) | 3,624,002,200 | 199,083.96 |
| 12 | ((17!/5!)/(12!))x((53!/50!)/(3!)) | 144,960,088 | 4,977,098.89 |
| 13 | ((17!/4!)/(13!))x((53!/51!)/(2!)) | 3,279,640 | 219,987,770.75 |
| 14 | ((17!/3!)/(14!))x((53!/52!)/(1!)) | 36,040 | 20,018,887,138.20 |
| 15 | ((17!/2!)/(15!))x((53!/53!)/(0!)) | 136 | 5,305,005,091,624.00 |
16 Spot
Formula for determining total possibilities - (70!/54!)/(16!) = 2,480,089,880,334,220.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/37!)/(16!)) | 14,844,575,908,435 | 167.07 |
| 1 | ((17!/16!)/(1!))x((53!/38!)/(15!)) | 106,255,911,765,640 | 23.34 |
| 2 | ((17!/15!)/(2!))x((53!/39!)/(14!)) | 326,941,266,971,200 | 7.59 |
| 3 | ((17!/14!)/(3!))x((53!/40!)/(13!)) | 572,147,217,199,600 | 4.33 |
| 4 | ((17!/13!)/(4!))x((53!/41!)/(12!)) | 634,943,862,989,800 | 3.91 |
| 5 | ((17!/12!)/(5!))x((53!/42!)/(11!)) | 471,672,583,935,280 | 5.26 |
| 6 | ((17!/11!)/(6!))x((53!/43!)/(10!)) | 241,320,856,897,120 | 10.28 |
| 7 | ((17!/10!)/(7!))x((53!/44!)/(9!)) | 86,186,020,320,400 | 28.78 |
| 8 | ((17!/9!)/(8!))x((53!/45!)/(8!)) | 21,546,505,080,100 | 115.10 |
| 9 | ((17!/8!)/(9!))x((53!/46!)/(7!)) | 3,747,218,274,800 | 661.85 |
| 10 | ((17!/7!)/(10!))x((53!/47!)/(6!)) | 446,477,071,040 | 5,554.80 |
| 11 | ((17!/6!)/(11!))x((53!/48!)/(5!)) | 35,515,221,560 | 69,831.74 |
| 12 | ((17!/5!)/(12!))x((53!/49!)/(4!)) | 1,812,001,100 | 1,368,702.19 |
| 13 | ((17!/4!)/(13!))x((53!/50!)/(3!)) | 55,753,880 | 44,482,821.29 |
| 14 | ((17!/3!)/(14!))x((53!/51!)/(2!)) | 937,040 | 2,646,727,866.83 |
| 15 | ((17!/2!)/(15!))x((53!/52!)/(1!)) | 7,208 | 344,074,622,687.88 |
| 16 | ((17!/1!)/(16!))x((53!/53!)/(0!)) | 17 | 145,887,640,019,660.00 |
17 Spot
Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((17!/17!)/(0!))x((53!/36!)/(17!)) | 32,308,782,859,535 | 243.83 |
| 1 | ((17!/16!)/(1!))x((53!/37!)/(16!)) | 252,357,790,443,395 | 31.22 |
| 2 | ((17!/15!)/(2!))x((53!/38!)/(15!)) | 850,047,294,125,120 | 9.27 |
| 3 | ((17!/14!)/(3!))x((53!/39!)/(14!)) | 1,634,706,334,856,000 | 4.82 |
| 4 | ((17!/13!)/(4!))x((53!/40!)/(13!)) | 2,002,515,260,198,600 | 3.93 |
| 5 | ((17!/12!)/(5!))x((53!/41!)/(12!)) | 1,650,854,043,773,480 | 4.77 |
| 6 | ((17!/11!)/(6!))x((53!/42!)/(11!)) | 943,345,167,870,560 | 8.35 |
| 7 | ((17!/10!)/(7!))x((53!/43!)/(10!)) | 379,218,489,409,760 | 20.77 |
| 8 | ((17!/9!)/(8!))x((53!/44!)/(9!)) | 107,732,525,400,500 | 73.12 |
| 9 | ((17!/8!)/(9!))x((53!/45!)/(8!)) | 21,546,505,080,100 | 365.62 |
| 10 | ((17!/7!)/(10!))x((53!/46!)/(7!)) | 2,997,774,619,840 | 2,627.93 |
| 11 | ((17!/6!)/(11!))x((53!/47!)/(6!)) | 284,121,772,480 | 27,727.31 |
| 12 | ((17!/5!)/(12!))x((53!/48!)/(5!)) | 17,757,610,780 | 443,636.97 |
| 13 | ((17!/4!)/(13!))x((53!/49!)/(4!)) | 696,923,500 | 11,303,869.88 |
| 14 | ((17!/3!)/(14!))x((53!/50!)/(3!)) | 15,929,680 | 494,544,307.30 |
| 15 | ((17!/2!)/(15!))x((53!/51!)/(2!)) | 187,408 | 42,036,266,120.24 |
| 16 | ((17!/1!)/(16!))x((53!/52!)/(1!)) | 901 | 8,743,543,353,009.59 |
| 17 | ((17!/0!)/(17!))x((53!/53!)/(0!)) | 1 | 7,877,932,561,061,632.00 |
Top/Bottom, Left/Right and Odd/Even
Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.
Some games will give the player the option of splitting the playslip in half, (either horizontally or vertically, depending on how the playslip is configured) and pay according to the distribution of drawn numbers in any half. Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 35 | ((35!/35!)/(0!))x((35!/18!)/(17!)) | 4,537,567,650 | 1,736,157.60 |
| 1 of 35 | ((35!/34!)/(1!))x((35!/19!)/(16!)) | 142,097,513,250 | 55,440.33 |
| 2 of 35 | ((35!/33!)/(2!))x((35!/20!)/(15!)) | 1,932,526,180,200 | 4,076.49 |
| 3 of 35 | ((35!/32!)/(3!))x((35!/21!)/(14!)) | 15,184,134,273,000 | 518.83 |
| 4 of 35 | ((35!/31!)/(4!))x((35!/22!)/(13!)) | 77,301,047,208,000 | 101.91 |
| 5 of 35 | ((35!/30!)/(5!))x((35!/23!)/(12!)) | 270,889,756,737,600 | 29.08 |
| 6 of 35 | ((35!/29!)/(6!))x((35!/24!)/(11!)) | 677,224,391,844,000 | 11.63 |
| 7 of 35 | ((35!/28!)/(7!))x((35!/25!)/(10!)) | 1,234,483,319,989,920 | 6.38 |
| 8 of 35 | ((35!/27!)/(8!))x((35!/26!)/(9!)) | 1,661,804,469,217,200 | 4.74 |
| 9 of 35 | ((35!/26!)/(9!))x((35!/27!)/(8!)) | 1,661,804,469,217,200 | 4.74 |
| 10 of 35 | ((35!/25!)/(10!))x((35!/28!)/(7!)) | 1,234,483,319,989,920 | 6.38 |
| 11 of 35 | ((35!/24!)/(11!))x((35!/29!)/(6!)) | 677,224,391,844,000 | 11.63 |
| 12 of 35 | ((35!/23!)/(12!))x((35!/30!)/(5!)) | 270,889,756,737,600 | 29.08 |
| 13 of 35 | ((35!/22!)/(13!))x((35!/31!)/(4!)) | 77,301,047,208,000 | 101.91 |
| 14 of 35 | ((35!/21!)/(14!))x((35!/32!)/(3!)) | 15,184,134,273,000 | 518.83 |
| 15 of 35 | ((35!/20!)/(15!))x((35!/33!)/(2!)) | 1,932,526,180,200 | 4,076.49 |
| 16 of 35 | ((35!/19!)/(16!))x((35!/34!)/(1!)) | 142,097,513,250 | 55,440.33 |
| 17 of 35 | ((35!/18!)/(17!))x((35!/35!)/(0!)) | 4,537,567,650 | 1,736,157.60 |
Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 8 or 9 spots on top or bottom, left or right, and odd or even (or combinations like 7-10, 6-11, 5-12, 4-13, 3-14, 2-15, 1-16 and 0-17), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved.
Edge and Inside/Outside
The 70-number Keno board is displayed with either seven rows of ten numbers each or ten rows of seven numbers each. In either case the outer edge (hence the name) will be composed of 30 numbers.
Formula for determining total possibilities - (70!/53!)/(17!) = 7,877,932,561,061,632.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 30 | ((30!/30!)/(0!))x((40!/23!)/(17!)) | 88,732,378,800 | 88,783.07 |
| 1 of 30 | ((30!/29!)/(1!))x((40!/24!)/(16!)) | 1,885,563,049,500 | 4,178.03 |
| 2 of 30 | ((30!/28!)/(2!))x((40!/25!)/(15!)) | 17,498,025,099,360 | 450.22 |
| 3 of 30 | ((30!/27!)/(3!))x((40!/26!)/(14!)) | 94,220,135,150,400 | 83.61 |
| 4 of 30 | ((30!/26!)/(4!))x((40!/27!)/(13!)) | 329,770,473,026,400 | 23.89 |
| 5 of 30 | ((30!/25!)/(5!))x((40!/28!)/(12!)) | 796,160,142,020,880 | 9.89 |
| 6 of 30 | ((30!/24!)/(6!))x((40!/29!)/(11!)) | 1,372,689,900,036,000 | 5.74 |
| 7 of 30 | ((30!/23!)/(7!))x((40!/30!)/(10!)) | 1,725,667,302,902,400 | 4.57 |
| 8 of 30 | ((30!/22!)/(8!))x((40!/31!)/(9!)) | 1,600,417,256,724,000 | 4.92 |
| 9 of 30 | ((30!/21!)/(9!))x((40!/32!)/(8!)) | 1,100,286,863,997,750 | 7.16 |
| 10 of 30 | ((30!/20!)/(10!))x((40!/33!)/(7!)) | 560,146,039,853,400 | 14.06 |
| 11 of 30 | ((30!/19!)/(11!))x((40!/34!)/(6!)) | 209,680,335,774,000 | 37.57 |
| 12 of 30 | ((30!/18!)/(12!))x((40!/35!)/(5!)) | 56,913,233,995,800 | 138.42 |
| 13 of 30 | ((30!/17!)/(13!))x((40!/36!)/(4!)) | 10,944,852,691,500 | 719.78 |
| 14 of 30 | ((30!/16!)/(14!))x((40!/37!)/(3!)) | 1,436,776,029,000 | 5,483.06 |
| 15 of 30 | ((30!/15!)/(15!))x((40!/38!)/(2!)) | 120,991,665,600 | 65,111.37 |
| 16 of 30 | ((30!/14!)/(16!))x((40!/39!)/(1!)) | 5,816,907,000 | 1,354,316.40 |
| 17 of 30 | ((30!/13!)/(17!))x((40!/40!)/(0!)) | 119,759,850 | 65,781,082.40 |
Keno Computation Tables - 10 Numbers Drawn From a 50-Number Board
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.
1 Spot
Formula for determining total possibilities - (50!/49!)/(1!) = 50.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/39!)/(1!)) | 40 | 1.25 |
| 1 | ((10!/9!)/(1!))x((40!/40!)/(0!)) | 10 | 5.00 |
2 Spot
Formula for determining total possibilities - (50!/48!)/(2!) = 1,225.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/38!)/(2!)) | 780 | 1.57 |
| 1 | ((10!/9!)/(1!))x((40!/39!)/(1!)) | 400 | 3.06 |
| 2 | ((10!/8!)/(2!))x((40!/40!)/(0!)) | 45 | 27.22 |
3 Spot
Formula for determining total possibilities - (50!/47!)/(3!) = 19,600.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/37!)/(3!)) | 9,880 | 1.98 |
| 1 | ((10!/9!)/(1!))x((40!/38!)/(2!)) | 7,800 | 2.51 |
| 2 | ((10!/8!)/(2!))x((40!/39!)/(1!)) | 1,800 | 10.89 |
| 3 | ((10!/7!)/(3!))x((40!/40!)/(0!)) | 120 | 163.33 |
4 Spot
Formula for determining total possibilities - (50!/46!)/(4!) = 230,300.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/36!)/(4!)) | 91,390 | 2.52 |
| 1 | ((10!/9!)/(1!))x((40!/37!)/(3!)) | 98,800 | 2.33 |
| 2 | ((10!/8!)/(2!))x((40!/38!)/(2!)) | 35,100 | 6.56 |
| 3 | ((10!/7!)/(3!))x((40!/39!)/(1!)) | 4,800 | 47.98 |
| 4 | ((10!/6!)/(4!))x((40!/40!)/(0!)) | 210 | 1,096.67 |
5 Spot
Formula for determining total possibilities - (50!/45!)/(5!) = 2,118,760.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/35!)/(5!)) | 658,008 | 3.22 |
| 1 | ((10!/9!)/(1!))x((40!/36!)/(4!)) | 913,900 | 2.32 |
| 2 | ((10!/8!)/(2!))x((40!/37!)/(3!)) | 444,600 | 4.77 |
| 3 | ((10!/7!)/(3!))x((40!/38!)/(2!)) | 93,600 | 22.64 |
| 4 | ((10!/6!)/(4!))x((40!/39!)/(1!)) | 8,400 | 252.23 |
| 5 | ((10!/5!)/(5!))x((40!/40!)/(0!)) | 252 | 8,407.78 |
6 Spot
Formula for determining total possibilities - (50!/44!)/(6!) = 15,890,700.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/34!)/(6!)) | 3,838,380 | 4.14 |
| 1 | ((10!/9!)/(1!))x((40!/35!)/(5!)) | 6,580,080 | 2.41 |
| 2 | ((10!/8!)/(2!))x((40!/36!)/(4!)) | 4,112,580 | 3.86 |
| 3 | ((10!/7!)/(3!))x((40!/37!)/(3!)) | 1,185,600 | 13.40 |
| 4 | ((10!/6!)/(4!))x((40!/38!)/(2!)) | 163,800 | 97.01 |
| 5 | ((10!/5!)/(5!))x((40!/39!)/(1!)) | 10,080 | 1,576.46 |
| 6 | ((10!/4!)/(6!))x((40!/40!)/(0!)) | 210 | 75,670,00 |
7 Spot
Formula for determining total possibilities - (50!/43!)/(7!) = 99,884,400.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/33!)/(7!)) | 18,643,560 | 5.36 |
| 1 | ((10!/9!)/(1!))x((40!/34!)/(6!)) | 38,383,800 | 2.60 |
| 2 | ((10!/8!)/(2!))x((40!/35!)/(5!)) | 29,610,360 | 3.37 |
| 3 | ((10!/7!)/(3!))x((40!/36!)/(4!)) | 10,966,800 | 9.11 |
| 4 | ((10!/6!)/(4!))x((40!/37!)/(3!)) | 2,074,800 | 48.14 |
| 5 | ((10!/5!)/(5!))x((40!/38!)/(2!)) | 196,560 | 508.16 |
| 6 | ((10!/4!)/(6!))x((40!/39!)/(1!)) | 8,400 | 11,891.00 |
| 7 | ((10!/3!)/(7!))x((40!/40!)/(0!)) | 120 | 832,370.00 |
8 Spot
Formula for determining total possibilities - (50!/42!)/(8!) = 536,878,650.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/32!)/(8!)) | 76,904,685 | 6.98 |
| 1 | ((10!/9!)/(1!))x((40!/33!)/(7!)) | 186,435,600 | 2.88 |
| 2 | ((10!/8!)/(2!))x((40!/34!)/(6!)) | 172,727,100 | 3.11 |
| 3 | ((10!/7!)/(3!))x((40!/35!)/(5!)) | 78,960,960 | 6.80 |
| 4 | ((10!/6!)/(4!))x((40!/36!)/(4!)) | 19,191,900 | 27.97 |
| 5 | ((10!/5!)/(5!))x((40!/37!)/(3!)) | 2,489,760 | 215.63 |
| 6 | ((10!/4!)/(6!))x((40!/38!)/(2!)) | 163,800 | 3,277.65 |
| 7 | ((10!/3!)/(7!))x((40!/39!)/(1!)) | 4,800 | 111,849.72 |
| 8 | ((10!/2!)/(8!))x((40!/40!)/(0!)) | 45 | 11,930,636.67 |
9 Spot
Formula for determining total possibilities - (50!/41!)/(9!) = 2,505,433,700.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/31!)/(9!)) | 273,438,880 | 9.16 |
| 1 | ((10!/9!)/(1!))x((40!/32!)/(8!)) | 769,046,850 | 3.26 |
| 2 | ((10!/8!)/(2!))x((40!/33!)/(7!)) | 838,960,200 | 2.99 |
| 3 | ((10!/7!)/(3!))x((40!/34!)/(6!)) | 460,605,600 | 5.44 |
| 4 | ((10!/6!)/(4!))x((40!/35!)/(5!)) | 138,181,680 | 18.13 |
| 5 | ((10!/5!)/(5!))x((40!/36!)/(4!)) | 23,030,280 | 108.79 |
| 6 | ((10!/4!)/(6!))x((40!/37!)/(3!)) | 2,074,800 | 1,207.55 |
| 7 | ((10!/3!)/(7!))x((40!/38!)/(2!)) | 93,600 | 26,767.45 |
| 8 | ((10!/2!)/(8!))x((40!/39!)/(1!)) | 1,800 | 1,391,907.61 |
| 9 | ((10!/1!)/(9!))x((40!/40!)/(0!)) | 10 | 250,543,370.00 |
10 Spot
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((40!/30!)/(10!)) | 847,660,528 | 12.12 |
| 1 | ((10!/9!)/(1!))x((40!/31!)/(9!)) | 2,734,388,800 | 3.76 |
| 2 | ((10!/8!)/(2!))x((40!/32!)/(8!)) | 3,460,710,825 | 2.97 |
| 3 | ((10!/7!)/(3!))x((40!/33!)/(7!)) | 2,237,227,200 | 4.59 |
| 4 | ((10!/6!)/(4!))x((40!/34!)/(6!)) | 806,059,800 | 12.74 |
| 5 | ((10!/5!)/(5!))x((40!/35!)/(5!)) | 165,818,016 | 61.95 |
| 6 | ((10!/4!)/(6!))x((40!/36!)/(4!)) | 19,191,900 | 535.24 |
| 7 | ((10!/3!)/(7!))x((40!/37!)/(3!)) | 1,185,600 | 8,664.20 |
| 8 | ((10!/2!)/(8!))x((40!/38!)/(2!)) | 35,100 | 292,657.50 |
| 9 | ((10!/1!)/(9!))x((40!/39!)/(1!)) | 400 | 25,680,695.43 |
| 10 | ((10!/0!)/(10!))x((40!/40!)/(0!)) | 1 | 10,272,278,170.00 |
Top/Bottom, Left/Right and Odd/Even
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170
Some games will give the player the option of splitting the playslip in half, either horizontally or vertically, and pay according to the distribution of drawn numbers in any half.
Some games will accomplish the same by dividing the ticket in half according to whether the drawn numbers are odd or even.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 25 | ((25!/25!)/(0!))x((25!/15!)/(10!)) | 3,268,760 | 3,142.56 |
| 1 of 25 | ((25!/24!)/(1!))x((25!/16!)/(9!)) | 51,074,375 | 201.12 |
| 2 of 25 | ((25!/23!)/(2!))x((25!/17!)/(8!)) | 324,472,500 | 31.66 |
| 3 of 25 | ((25!/22!)/(3!))x((25!/18!)/(7!)) | 1,105,610,000 | 9.29 |
| 4 of 25 | ((25!/21!)/(4!))x((25!/19!)/(6!)) | 2,240,315,000 | 4.59 |
| 5 of 25 | ((25!/20!)/(5!))x((25!/20!)/(5!)) | 2,822,796,900 | 3.64 |
| 6 of 25 | ((25!/19!)/(6!))x((25!/21!)/(4!)) | 2,240,315,000 | 4.59 |
| 7 of 25 | ((25!/18!)/(7!))x((25!/22!)/(3!)) | 1,105,610,000 | 9.29 |
| 8 of 25 | ((25!/17!)/(8!))x((25!/23!)/(2!)) | 324,472,500 | 31.66 |
| 9 of 25 | ((25!/16!)/(9!))x((25!/24!)/(1!)) | 51,074,375 | 201.12 |
| 10 of 25 | ((25!/15!)/(10!))x((25!/25!)/(0!)) | 3,268,760 | 3,142.56 |
Note: The above table is deceptive in a way. The formulas, possibilities and the odds of hitting 4 or 6 spots on top or bottom, left or right, and odd or even (or combinations like 3-7, 2-8, 1-9, and 0-10), are exactly the same. Therefore the number of possibilities for each of these opposite numbers can be doubled and the odds halved. The 5, however, is unique.
Top, Middle or Bottom
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.
Some games will give the bettor the option of selecting which area of the board into which the majority of the 20 drawn numbers will fall or, as an alternative, allow the bettor to wager that 10 numbers will fall on either side of the board.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| <5 of 10 | (Calculated) | 3,724,740,635 | 2.76 |
| 5 of 10 | ((25!/20!)/(5!))x((25!/20!)/(5!)) | 2,822,796,900 | 3.64 |
| >5 of 10 | (Calculated) | 3,724,740,635 | 2.76 |
Edge and Inside/Outside
The 50-number Keno board is displayed with either five rows of ten numbers each or ten rows of five numbers each. In either case the outer edge (hence the name) will be composed of 26 numbers.
Formula for determining total possibilities - (50!/40!)/(10!) = 10,272,278,170.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 26 | ((26!/26!)/(0!))x((24!/14!)/(10!)) | 1,961,256 | 5,237,60 |
| 1 of 26 | ((26!/25!)/(1!))x((24!/15!)/(9!)) | 33,995,104 | 302.17 |
| 2 of 26 | ((26!/24!)/(2!))x((24!/16!)/(8!)) | 239,028,075 | 42.98 |
| 3 of 26 | ((26!/23!)/(3!))x((24!/17!)/(7!)) | 899,870,400 | 11.42 |
| 4 of 26 | ((26!/22!)/(4!))x((24!/18!)/(6!)) | 2,012,210,200 | 5.10 |
| 5 of 26 | ((26!/21!)/(5!))x((24!/19!)/(5!)) | 2,795,913,120 | 3.67 |
| 6 of 26 | ((26!/20!)/(6!))x((24!/20!)/(4!)) | 2,446,423,980 | 4.20 |
| 7 of 26 | ((26!/19!)/(7!))x((24!/21!)/(3!)) | 1,331,387,200 | 7.72 |
| 8 of 26 | ((26!/18!)/(8!))x((24!/22!)/(2!)) | 431,187,900 | 23.82 |
| 9 of 26 | ((26!/17!)/(9!))x((24!/23!)/(1!)) | 74,989,200 | 136.98 |
| 10 of 26 | ((26!/16!)/(10!))x((24!/24!)/(0!)) | 5,311,735 | 1,933.88 |
Keno Computation Tables - 10 Numbers Drawn From a 49-Number Board
Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.
1 Spot
Formula for determining total possibilities - (49!/48!)/(1!) = 49.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/38!)/(1!)) | 39 | 1.26 |
| 1 | ((10!/9!)/(1!))x((39!/39!)/(0!)) | 10 | 4.90 |
2 Spot
Formula for determining total possibilities - (49!/47!)/(2!) = 1,176.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/37!)/(2!)) | 741 | 1.59 |
| 1 | ((10!/9!)/(1!))x((39!/38!)/(1!)) | 390 | 3.02 |
| 2 | ((10!/8!)/(2!))x((39!/39!)/(0!)) | 45 | 26.13 |
3 Spot
Formula for determining total possibilities - (49!/46!)/(3!) = 18,424.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/36!)/(3!)) | 9,139 | 2.02 |
| 1 | ((10!/9!)/(1!))x((39!/37!)/(2!)) | 7,410 | 2.49 |
| 2 | ((10!/8!)/(2!))x((39!/38!)/(1!)) | 1,755 | 10.50 |
| 3 | ((10!/7!)/(3!))x((39!/39!)/(0!)) | 120 | 153.53 |
4 Spot
Formula for determining total possibilities - (49!/45!)/(4!) = 211,876.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/35!)/(4!)) | 82,251 | 2.58 |
| 1 | ((10!/9!)/(1!))x((39!/36!)/(3!)) | 91,390 | 2.32 |
| 2 | ((10!/8!)/(2!))x((39!/37!)/(2!)) | 33,345 | 6.35 |
| 3 | ((10!/7!)/(3!))x((39!/38!)/(1!)) | 4,680 | 45.27 |
| 4 | ((10!/6!)/(4!))x((39!/39!)/(0!)) | 210 | 1,008.93 |
5 Spot
Formula for determining total possibilities - (49!/44!)/(5!) = 1,906,884.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/34!)/(5!)) | 575,757 | 3.31 |
| 1 | ((10!/9!)/(1!))x((39!/35!)/(4!)) | 822,510 | 2.32 |
| 2 | ((10!/8!)/(2!))x((39!/36!)/(3!)) | 411,255 | 4.64 |
| 3 | ((10!/7!)/(3!))x((39!/37!)/(2!)) | 88,920 | 21.44 |
| 4 | ((10!/6!)/(4!))x((39!/38!)/(1!)) | 8,190 | 232.83 |
| 5 | ((10!/5!)/(5!))x((39!/39!)/(0!)) | 252 | 7,567.00 |
6 Spot
Formula for determining total possibilities - (49!/43!)/(6!) = 13,983,816.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/33!)/(6!)) | 3,262,623 | 4.29 |
| 1 | ((10!/9!)/(1!))x((39!/34!)/(5!)) | 5,757,570 | 2.43 |
| 2 | ((10!/8!)/(2!))x((39!/35!)/(4!)) | 3,701,295 | 3.78 |
| 3 | ((10!/7!)/(3!))x((39!/36!)/(3!)) | 1,096,680 | 12.75 |
| 4 | ((10!/6!)/(4!))x((39!/37!)/(2!)) | 155,610 | 89.86 |
| 5 | ((10!/5!)/(5!))x((39!/38!)/(1!)) | 9,828 | 1,422.85 |
| 6 | ((10!/4!)/(6!))x((40!/40!)/(0!)) | 210 | 66,589,60 |
7 Spot
Formula for determining total possibilities - (49!/42!)/(7!) = 85,900,584.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/32!)/(7!)) | 15,380,937 | 5.58 |
| 1 | ((10!/9!)/(1!))x((39!/33!)/(6!)) | 32,626,230 | 2.63 |
| 2 | ((10!/8!)/(2!))x((39!/34!)/(5!)) | 25,909,065 | 3.32 |
| 3 | ((10!/7!)/(3!))x((39!/35!)/(4!)) | 9,870,120 | 8.70 |
| 4 | ((10!/6!)/(4!))x((39!/36!)/(3!)) | 1,919,190 | 44.76 |
| 5 | ((10!/5!)/(5!))x((39!/37!)/(2!)) | 186,732 | 460.02 |
| 6 | ((10!/4!)/(6!))x((39!/38!)/(1!)) | 8,190 | 10,488.47 |
| 7 | ((10!/3!)/(7!))x((40!/40!)/(0!)) | 120 | 715,838.20 |
8 Spot
Formula for determining total possibilities - (49!/41!)/(8!) = 450,978,066.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/31!)/(8!)) | 61,523,748 | 7.33 |
| 1 | ((10!/9!)/(1!))x((39!/32!)/(7!)) | 153,809,370 | 2.93 |
| 2 | ((10!/8!)/(2!))x((39!/33!)/(6!)) | 146,818,035 | 3.07 |
| 3 | ((10!/7!)/(3!))x((39!/34!)/(5!)) | 69,090,840 | 6.53 |
| 4 | ((10!/6!)/(4!))x((39!/35!)/(4!)) | 17,272,710 | 26.11 |
| 5 | ((10!/5!)/(5!))x((39!/36!)/(3!)) | 2,303,028 | 195.82 |
| 6 | ((10!/4!)/(6!))x((39!/37!)/(2!)) | 155,610 | 2,898.13 |
| 7 | ((10!/3!)/(7!))x((39!/38!)/(1!)) | 4,680 | 96,362.83 |
| 8 | ((10!/2!)/(8!))x((39!/39!)/(0!)) | 45 | 10,021,734.80 |
9 Spot
Formula for determining total possibilities - (49!/40!)/(9!) = 2,054,455,634.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/30!)/(9!)) | 211,915,132 | 9.69 |
| 1 | ((10!/9!)/(1!))x((39!/31!)/(8!)) | 615,237,480 | 3.34 |
| 2 | ((10!/8!)/(2!))x((39!/32!)/(7!)) | 692,142,165 | 2.97 |
| 3 | ((10!/7!)/(3!))x((39!/33!)/(6!)) | 391,514,760 | 5.25 |
| 4 | ((10!/6!)/(4!))x((39!/34!)/(5!)) | 120,908,970 | 16.99 |
| 5 | ((10!/5!)/(5!))x((39!/35!)/(4!)) | 20,727,252 | 99.12 |
| 6 | ((10!/4!)/(6!))x((39!/36!)/(3!)) | 1,919,190 | 1,070.48 |
| 7 | ((10!/3!)/(7!))x((39!/37!)/(2!)) | 88,920 | 23,104,54 |
| 8 | ((10!/2!)/(8!))x((39!/38!)/(1!)) | 1,755 | 1,170,629.99 |
| 9 | ((10!/1!)/(9!))x((39!/39!)/(0!)) | 10 | 205,445,563.40 |
10 Spot
Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 | ((10!/10!)/(0!))x((39!/29!)/(10!)) | 635,745,396 | 12.93 |
| 1 | ((10!/9!)/(1!))x((39!/30!)/(9!)) | 2,119,151,320 | 3.88 |
| 2 | ((10!/8!)/(2!))x((39!/31!)/(8!)) | 2,768,568,660 | 2.97 |
| 3 | ((10!/7!)/(3!))x((39!/32!)/(7!)) | 1,845,712,440 | 4.45 |
| 4 | ((10!/6!)/(4!))x((39!/33!)/(6!)) | 685,150,830 | 11.99 |
| 5 | ((10!/5!)/(5!))x((39!/34!)/(5!)) | 145,090,764 | 56.64 |
| 6 | ((10!/4!)/(6!))x((39!/35!)/(4!)) | 17,272,710 | 475.77 |
| 7 | ((10!/3!)/(7!))x((39!/36!)/(3!)) | 1,096,680 | 7,493.36 |
| 8 | ((10!/2!)/(8!))x((39!/37!)/(2!)) | 33,345 | 246,448.42 |
| 9 | ((10!/1!)/(9!))x((40!/39!)/(1!)) | 390 | 21,071,339.84 |
| 10 | ((10!/0!)/(10!))x((40!/40!)/(0!)) | 1 | 8,217,822,536.00 |
Edge and Inside/Outside
The 49-number Keno board is probably displayed with seven rows of seven numbers each. The outer edge (hence the name) will be composed of 24 numbers.
Formula for determining total possibilities - (49!/39!)/(10!) = 8,217,822,536.
| Hits | Formula | Possibilities | Odds - 1:: |
|---|---|---|---|
| 0 of 24 | ((24!/24!)/(0!))x((25!/15!)/(10!)) | 3,268,270 | 2,514.05 |
| 1 of 24 | ((24!/23!)/(1!))x((25!/16!)/(9!)) | 49,031,400 | 167.60 |
| 2 of 24 | ((24!/22!)/(2!))x((25!/17!)/(8!)) | 298,514,705 | 27.53 |
| 3 of 24 | ((24!/21!)/(3!))x((25!/18!)/(7!)) | 972,936,800 | 8.45 |
| 4 of 24 | ((24!/20!)/(4!))x((25!/19!)/(6!)) | 1,881,864,600 | 4.37 |
| 5 of 24 | ((24!/19!)/(5!))x((25!/20!)/(5!)) | 2,258,237,520 | 3.64 |
| 6 of 24 | ((24!/18!)/(6!))x((25!/21!)/(4!)) | 1,702,639,400 | 4.83 |
| 7 of 24 | ((24!/17!)/(7!))x((25!/22!)/(3!)) | 796,039,200 | 10.32 |
| 8 of 24 | ((24!/16!)/(8!))x((25!/23!)/(2!)) | 220,641,300 | 37.25 |
| 9 of 24 | ((24!/15!)/(9!))x((25!/24!)/(1!)) | 32,687,600 | 251.40 |
| 10 of 24 | ((24!/14!)/(10!))x((25!/25!)/(0!)) | 1,961,256 | 4,190.08 |
=^.^=