Keno odds calculator
In keno 20 numbers are drawn from 80. Picking 10, you catch all 10 1 in 8,911,711 games and 5 of 10 1 in 19.44. A 1-spot ticket wins 1 in 4. The house edge depends on the pay table, which you can enter below.
Checked 2026-11-07. Source: formula below.
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How keno odds are calculated
P(catch k of n) = C(n, k) × C(80 − n, 20 − k) ÷ C(80, 20), where C(a, b) is the number of ways to choose b items from a.
Worked example, 10 spots and 5 catches: C(10, 5) × C(70, 15) ÷ C(80, 20) = 5.143%, or 1 in 19.44.
Return from a pay table: multiply each catch's chance by what it pays per $1 and add them up. With a sample 4-spot table paying $100 for 4, $4 for 3 and $1 for 2, the return is $0.692 per $1, a house edge of 30.80%. This table is only an illustration; use your own game's.
Keno odds for 1 to 10 spots
| Spots | Catch all | Catch half or more | Catch none |
|---|---|---|---|
| 1 | 1 in 4.00 | 25.00% | 75.00% |
| 2 | 1 in 16.63 | 43.99% | 56.01% |
| 3 | 1 in 72.07 | 15.26% | 41.65% |
| 4 | 1 in 326 | 25.89% | 30.83% |
| 5 | 1 in 1,551 | 9.67% | 22.72% |
| 6 | 1 in 7,753 | 16.16% | 16.66% |
| 7 | 1 in 40,979 | 6.16% | 12.16% |
| 8 | 1 in 230,115 | 10.23% | 8.83% |
| 9 | 1 in 1,380,688 | 3.89% | 6.37% |
| 10 | 1 in 8,911,711 | 6.47% | 4.58% |
10-spot odds by catch
| Catch | Chance | Odds |
|---|---|---|
| 10 | 0.00001% | 1 in 8,911,711 |
| 9 | 0.00061% | 1 in 163,381 |
| 8 | 0.01354% | 1 in 7,384 |
| 7 | 0.16% | 1 in 621 |
| 6 | 1.15% | 1 in 87.11 |
| 5 | 5.14% | 1 in 19.44 |
| 4 | 14.73% | 1 in 6.79 |
| 3 | 26.74% | 1 in 3.74 |
| 2 | 29.53% | 1 in 3.39 |
| 1 | 17.96% | 1 in 5.57 |
| 0 | 4.58% | 1 in 21.84 |
Catching zero of 10 (4.58%) is more likely than catching 6 or more. Some games pay for zero catches for that reason.
Questions
What are the odds of hitting all 10 numbers in keno?
1 in 8,911,711, when 20 numbers are drawn from 80. Catching 5 of 10 happens 1 in 19.44.
How are keno odds calculated?
With the hypergeometric formula: the number of ways to catch k of your numbers and miss the rest, divided by all the ways 20 numbers can be drawn from 80.
Which keno bet has the best odds?
Odds alone do not tell you that, because the pay table sets the return. A 1-spot wins 25% of the time but usually pays little. Enter your game's pay table to compare the return of each spot count.
What is the house edge in keno?
It depends entirely on the pay table, and keno tables are usually far less generous than table games. Add the payouts from your casino or lottery and the calculator works out the edge.