Keno Odds Calculator
The probability of hitting your spots.
| Hits | Exactly | This or more |
|---|---|---|
| 0 | 4.58 % | 100.00 % |
| 1 | 17.96 % | 95.42 % |
| 2 | 29.53 % | 77.46 % |
| 3 | 26.74 % | 47.94 % |
| 4 | 14.73 % | 21.20 % |
| 5 | 5.14 % | 6.47 % |
| 6 | 1.15 % | 1.32 % |
| 7 | 0.16 % | 0.18 % |
| 8 | 0.01 % | 0.01 % |
| 9 | <0.01 % | <0.01 % |
| 10 | <0.01 % | <0.01 % |
| Hits | Pays | You win | Odds | Share of return |
|---|---|---|---|---|
| 10 / 10 | 100,000 × | 100,000 ₽ | 1 : 8,911,711 | 1.53 % |
| 9 / 10 | 4,500 × | 4,500 ₽ | 1 : 163,381 | 3.76 % |
| 8 / 10 | 1,000 × | 1,000 ₽ | 1 : 7,384 | 18.50 % |
| 7 / 10 | 140 × | 140 ₽ | 1 : 621 | 30.81 % |
| 6 / 10 | 20 × | 20 ₽ | 1 : 87 | 31.36 % |
| 5 / 10 | 2 × | 2 ₽ | 1 : 19 | 14.05 % |
A typical Las Vegas paytable. Operators change these constantly — the return above is computed from the table, so swap in your own numbers and the answer moves.
How it works
Keno draws 20 numbers from 80; you mark a handful of spots and win by matching as many as you can. The chance of matching exactly m of your picks follows the hypergeometric distribution — the same math as a lottery draw.
Matching all your spots is extremely unlikely, which is why keno carries one of the highest house edges in the casino once the (game-specific) pay table is applied. This calculator shows the true probability of every number of hits; the payouts depend on the venue.
Related calculators
How the Keno Odds Calculator works
Keno draws 20 numbers from 80, and you win by matching the spots you picked. This free keno odds calculator gives the exact probability of hitting any number of your spots, using the hypergeometric distribution — the same math behind a lottery draw.
How keno odds are calculated
Pick k spots and the chance of matching exactly m of them is C(20,m) × C(60,k−m) ÷ C(80,k): the ways to hit m of the 20 drawn numbers, times the ways your remaining picks miss, over all ways to choose your spots. This is the hypergeometric distribution, identical to lottery and bingo math.
The calculator also gives the cumulative chance of matching that many or more, and the odds as a 1-in-N figure, for any number of spots from 1 to 15.
Why keno is a tough game
Catching all your spots is wildly unlikely — hitting all 10 on a 10-spot ticket is roughly a 1-in-9-million shot. Pay tables reward the big catches, but never enough to offset how rare they are, which is why keno carries one of the highest house edges in the casino, often 20–35%.
The probabilities here are fixed by the math; the payouts vary by venue, so check the pay table to judge a specific ticket. The odds of hitting, however, are the same everywhere.
Reading a keno payout chart
A paytable lists what each number of hits pays per unit staked. Multiply every payout by its probability, add the results, and you have the game's return to player — that is exactly how the chart above computes its RTP rather than quoting one. A typical Las Vegas ticket lands between 71% and 76%, which makes keno one of the most expensive games on the floor.
The share-of-return column is the part worth studying. On a ten-spot ticket the jackpot pays 100 000 to 1 and still accounts for barely 1.5% of everything the ticket gives back: almost two thirds of the return arrives through the six- and seven-hit tiers, which is why a paytable that trims those is far worse than one that trims the top prize. Paytables vary by operator, so compare the small tiers, not the headline.
FAQ
What are the odds of winning keno?expand_more
They depend on how many spots you pick. Matching exactly m of k spots is C(20,m)·C(60,k−m)/C(80,k); hitting all 10 on a 10-spot ticket is about 1 in 8.9 million.
How does the keno calculator work?expand_more
It uses the hypergeometric distribution for a standard 80-number, 20-draw game to give the exact probability of matching any number of your chosen spots.
Why does keno have such a high house edge?expand_more
Because the big catches are extremely rare and the pay tables do not fully reward them. House edges of 20–35% are common, far higher than table games.
What is the house edge in keno?expand_more
On the typical paytable used here, 24-29% depending on how many spots you mark. That is several times the cost of blackjack or roulette, and it comes entirely from the payouts, not the draw.
Which keno ticket has the best return?expand_more
It depends on the paytable, not the number of spots. On the chart here the one- and five-spot tickets return about 75%, and the four-spot about 71% — a four-point spread that no amount of number-picking can move.
Key terms
All calculators
- Odds Converter
- Expected Value (EV) Calculator
- Vig & No-Vig Calculator
- Surebet (Arbitrage) Calculator
- Parlay Calculator (Accumulator)
- Round Robin Bet Calculator
- Matched Betting Calculator
- Hedge & Cash-Out Calculator
- Bonus & Wagering Calculator
- Poker Odds Calculator (Pot Odds & Outs)
- Each-Way Bet Calculator
- Lay Bet Calculator
- Dutching Calculator
- Free Bet Calculator
- Asian Handicap Calculator
- Closing Line Value Calculator
- Fold Equity Calculator