Keno Odds Calculator
Calculate exact probabilities and payouts for Keno based on how many numbers you pick and how many you match.
See expected value for any Keno game.
How Keno Works Keno is a lottery-style casino game. The player chooses between 1 and 15 numbers from a pool of 1 to 80. The house then draws 20 numbers at random. The player wins based on how many of their chosen numbers match the drawn numbers.
The Mathematics Keno probabilities use the hypergeometric distribution: P(k matches) = C(n,k) * C(80-n, 20-k) / C(80, 20). Where n is how many numbers you picked, k is how many matched, C(a,b) is the combination function “a choose b”, and C(80,20) is the total number of ways to draw 20 from 80.
C(80, 20) — The Total Combinations There are approximately 3.535 x 10^18 (3.5 quintillion) ways to draw 20 numbers from 80. This enormous number is why exact Keno calculations require careful mathematics.
Typical House Edge Keno has one of the highest house edges of any casino game, typically 25-35%. This means for every $100 wagered, the expected return is only $65-75. Despite this, Keno remains popular because of the potential for large payouts on small bets and the relaxed pace of the game.
Pick Strategy Fewer picks have simpler odds but smaller maximum payouts. More picks are harder to match but offer larger jackpots. The house edge is similar regardless of how many numbers you pick — the payout tables are designed to maintain it.