Keno Odds & Payout Calculator 2026
Pick your spots, drop in your casino's paytable, and get the exact odds for every catch plus the real RTP and house edge. The honest answer to "best keno numbers" is inside.
Built and math-checked by Evgeniy Volkov
Keno odds calculator
Payouts vary a lot between casinos. Edit these to match your ticket, the RTP updates live.
RTP (return to player)
75.32%
House edge
24.68%
Chance to win anything
25.89%
Average catches
1.00
Best spot on this paytable
Picking 8 spots returns the most: 79.31% RTP
The real "best keno numbers" decision: how many spots you pick and the paytable, never the numbers themselves.
Odds of catching each number
This is the exact probability of catching 0, 1, 2 and so on of your chosen spots, straight from the hypergeometric math. Most of the weight sits on small catches; the big prizes are as rare as the odds column shows.
| Catch | Probability | Odds | Payout |
|---|---|---|---|
| 0 | 30.83% | 1 in 3 | — |
| 1 | 43.27% | 1 in 2 | — |
| 2 | 21.26% | 1 in 5 | 1x |
| 3 | 4.32% | 1 in 23 | 4x |
| 4 | 0.31% | 1 in 326 | 120x |
Keno is a lottery you play at casino speed: a pool of 80 numbers, 20 drawn each round, and you pick anywhere from 1 to 10 spots hoping to catch as many as you can. This free calculator does two honest things nobody else combines. It gives you the exact probability of every catch from real hypergeometric math, and it takes your casino's actual paytable and tells you the true RTP and house edge, plus which spot count returns the most. No sign-up, no myths, free on ToolsGambling.com.
Are there "best keno numbers"? The honest answer
No. Every one of the 80 numbers has exactly the same chance of being drawn, and the balls have no memory, so no number is hot, cold or due. The pages selling "lucky spots" and "numbers that hit the most" are selling a myth. If a number came up a lot last week, that is variance, not a signal, and betting it changes nothing about your odds. The math is blunt about this, and so are we. What actually moves your return is the decision the myth pages never mention: how many spots you pick and what your casino pays for each catch.
Why hot and cold numbers feel real
Your brain is a pattern-finding machine, even where there is no pattern. Watch any keno board long enough and some numbers will appear to run hot while others go missing, purely by chance. This is the clustering illusion, the same bias behind gambler's fallacy. Tracking which numbers are "due" is time you could spend understanding the paytable, which is the only thing on the ticket you can actually evaluate. Every draw is independent; the board resets to even odds every single round.
How keno odds are calculated
Keno is a draw without replacement, so the chance of catching exactly k of your spots is a hypergeometric probability. Out of all the ways 20 balls could be drawn from 80, you count how many include exactly k of your picks and how many miss the rest. This calculator runs that exact formula for every possible catch count, so the odds you see are precise, not simulated or rounded. The classic headline number falls straight out of it: catching all ten on a 10-spot ticket is about 1 in 8.9 million.
The formula in plain English
For a ticket with n spots, the probability of catching k is the number of ways to choose k of your n picks, times the number of ways to fill the other 20 minus k drawn balls from the 80 minus n numbers you did not pick, divided by the total ways to draw 20 from 80. On average you catch a quarter of your spots, because 20 of 80 balls are drawn, so a 4-spot averages 1 catch and a 10-spot averages 2.5. The table above lists the exact probability, the 1-in-N odds and your payout for every catch level.
The paytable is the whole game
This is the number that decides everything and the one keno players ignore most. Two casinos can offer the same 8-spot ticket and pay wildly different amounts for a 6, 7 or 8 catch, which can swing the RTP by ten points or more. That is why the calculator lets you type in your own payouts instead of trusting a generic chart. Enter what your ticket actually pays for each catch and read the real return, then compare it to the ticket next to it. A slightly better payout on the common catches beats a huge jackpot you will realistically never hit.
RTP and house edge: why keno is expensive
Keno has one of the worst house edges in the casino, commonly 20% to 35%, meaning a typical ticket returns 65 to 80 cents on the dollar over the long run. Compare that to blackjack near 99% RTP or a decent slot at 96%. The calculator shows your exact RTP from your paytable so you can see the damage before you play. This is not a reason to never play keno, it is a low-stakes, high-variance lottery that is genuinely fun, but it is a reason to pick the best-paying ticket you can find and to size your bets as entertainment, not investment.
Which spot count is actually best?
The real answer to "best keno numbers" is a spot count, not a set of numbers. On any given paytable, some spot counts return more than others, and the calculator flags the best one for the table you entered. As a rule the middle spots, around 4 to 8, tend to balance a reasonable hit rate against the payout structure, while 1 and 2 spot tickets win often but pay little and 9 to 10 spot tickets chase lottery-sized jackpots at lottery-sized odds. But the honest answer is always table-specific: change the payouts and the best spot changes, which is exactly what the tool lets you test.
Does any keno strategy work?
No system changes the odds of the draw, because the draw is random and independent. What people call keno strategy is really bankroll and ticket selection: choosing a machine or lottery with a better paytable, picking a spot count whose payout structure you like, and setting a loss limit before you sit down. Multi-race tickets and pattern picks are fun and harmless but they do not shift your expected return. Anyone promising a way to beat keno with number selection is selling the same myth as the "lucky spots" pages. The only edge available is choosing the least bad paytable, and this calculator finds it.
How to use the keno calculator on ToolsGambling
Choose how many spots you plan to play, from 1 to 10. Then edit the payout for each catch to match your casino's paytable, the RTP and house edge update instantly. Read the big RTP number to see what the ticket really returns, check the catch table for the exact odds of each outcome, and look at the best-spot flag to see whether a different spot count pays more on the same table. Share the exact setup with a link or embed the calculator on your own site, and pair it with our keno strategy guides below.
Keno terms
- Spot
- A number you pick on your ticket. A 4-spot ticket means you picked four numbers.
- Catch
- One of your picked spots that gets drawn. Catch 5 means five of your numbers came up.
- Paytable
- What the casino pays per unit staked for each catch count. Varies a lot between venues.
- RTP
- Return to player: the share of stakes a paytable returns over the long run. 100% minus the house edge.
- House edge
- The casino's long-run advantage, 100% minus RTP. Keno's is high, often 20 to 35 percent.
- Draw
- The 20 numbers pulled from the pool of 80 each round. Independent every time, with no memory.
Related free tools on ToolsGambling.com
Keno sits in a wider casino toolkit. Pair this with our keno strategy guides for 4-card, 7-spot, Cleopatra and Caveman keno, the house edge calculator to compare keno against other games, and the gambler's fallacy guide for why no number is ever due.
Keno calculator FAQ
Free casino tools on ToolsGambling.com
Evgeniy Volkov
Verified ExpertFullstack developer with a background in mathematics. I build the calculators and game-style tools on ToolsGambling with Pixi.js and modern web tech, and every result uses transparent probability formulas you can verify yourself.