DashboardExact casino math
Keno
Exact 80-number ticket odds with editable spot selection, sample payouts, hit distribution, and EV.
Analyzer
Select a keno ticket
Pick 1 to 10 numbers on the 80-number board; the sidebar shows exact probability and paytable EV.
| Catch | Ways | Probability | Pays to 1 | EV contribution |
|---|---|---|---|---|
| 0 of 5 | 803,167,998,494,073,200 | 22.72% | 0:1 | -0.227u |
| 1 of 5 | 1,434,228,568,739,416,300 | 40.57% | 0:1 | -0.406u |
| 2 of 5 | 956,152,379,159,611,000 | 27.05% | 0:1 | -0.270u |
| 3 of 5 | 296,736,945,256,431,000 | 8.39% | 2:1 | +0.168u |
| 4 of 5 | 42,750,237,875,926,500 | 1.21% | 15:1 | +0.181u |
| 5 of 5 | 2,280,012,686,716,080 | 0.06% | 800:1 | +0.516u |
Reference
How the keno math works
The draw is exact combinatorics, while EV depends on the active payout schedule.
- A standard ticket chooses spots from 1 through 80, then the game draws 20 numbers without replacement.
- The probability of catching h numbers is C(spots, h) x C(80 - spots, 20 - h) divided by C(80, 20).
- Because real paytables vary, the payout column is editable and treated as net profit paid to one unit staked.