Keno Odds Calculator
Calculate exact probabilities for any Keno game. Select a game and the number of spots you want to play to see the complete odds breakdown using the hypergeometric distribution.
Odds Table โ Multi Multi (5-Spot)
80/20 pool| Matches | Probability | Odds |
|---|---|---|
0 of 5 | 0.22718421 | 1 in 4.40 |
1 of 5 | 0.40568609 | 1 in 2.46 |
2 of 5 | 0.27045739 | 1 in 3.70 |
3 of 5 | 0.08393505 | 1 in 11.9 |
4 of 5 | 0.01209234 | 1 in 82.7 |
5 of 5Jackpot | 0.00064492 | 1 in 1,551 |
Probability Distribution โ 5-Spot
Calculate Odds for Any Game
How Keno Odds Are Calculated
Keno probabilities are calculated using the hypergeometric distribution, which is the mathematically exact method for computing the likelihood of drawing a specific number of matching items from a finite population without replacement.
The formula is: P(catch k) = C(D,k) ร C(NโD, sโk) / C(N,s), where N is the total number pool, D is how many numbers the operator draws, s is how many spots you pick, k is the number of matches, and C(n,r) is the combination function (n choose r).
Understanding the Results
The odds table shows every possible outcome for your selected game configuration. The "Odds" column shows how often each outcome occurs on average โ for example, "1 in 8,911,711" means you would expect that outcome once in approximately 8.9 million draws.
Note that these are mathematical probabilities only. They do not account for the payout structure, which varies by operator. The actual expected return depends on both the odds and the specific pay table offered by each game.
This calculator provides mathematically exact probabilities for informational purposes only. It does not constitute gambling advice. Keno is a game of chance with a built-in house advantage. Please play responsibly.
Frequently Asked Questions
What are the odds of matching all numbers in Keno?
The odds depend on the number pool size, how many numbers are drawn, and how many you pick. For a standard 80/20 game picking 10 numbers, the odds of matching all 10 are approximately 1 in 8,911,711. Use the calculator above to check odds for any specific game.
How is Keno probability calculated?
Keno uses the hypergeometric distribution. The probability of catching k numbers when picking s from a pool of N with D drawn is: C(D,k) ร C(NโD, sโk) / C(N,s), where C is the combination function. This calculator performs this exact computation.
Do different Keno games have different odds?
Yes. Games with different number pool sizes (e.g., 70 vs 80 numbers) and different numbers drawn produce different probabilities. For example, German KENO (70/20) has slightly better odds than a standard 80/20 game for the same number of picks.
Is Keno a good bet?
Keno typically has a house edge of 25โ40%, making it one of the higher house-edge lottery games. The expected return varies by operator and game format. Always check the specific pay table for the game you are playing. For more information, visit our Responsible Play page.