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Keno calculator: hit odds and payouts

Picking 5 numbers with 10 of 40 drawn, catching all 5 happens 0.0383% of the time (1 in 2,611) and pays 97.48× (Classic Keno, classic risk). Some return comes back 78.34% of the time, and every table returns 98% on average.

Hit probability by numbers picked

Rows: numbers picked. Columns: how many of them are drawn.

Picks012345678910
175.00%25.00%
255.77%38.46%5.77%
341.09%44.03%13.66%1.21%
429.99%44.42%21.42%3.94%0.230%
521.66%41.65%27.77%7.93%0.957%0.0383%
615.47%37.13%32.13%12.69%2.38%0.197%0.00547%
710.92%31.85%34.40%17.64%4.57%0.588%0.0338%0.000644%
87.61%26.47%34.74%22.24%7.48%1.33%0.119%0.00468%0.0000585%
95.23%21.40%33.50%26.06%10.94%2.53%0.312%0.0191%0.000494%0.00000366%
103.54%16.88%31.07%28.82%14.71%4.24%0.679%0.0575%0.00231%0.0000354%0.000000118%

Classic Keno, classic risk paytable

Rows: numbers picked. Columns: hits. Values are payout multipliers.

Picks012345678910
10.00×3.92×
20.00×1.63×6.12×
30.00×0.73×2.38×27.43×
40.00×0.79×1.78×4.95×22.75×
50.00×0.39×1.36×3.41×13.65×97.48×
60.00×0.00×1.10×2.64×7.70×44.02×385.20×
70.00×0.00×0.80×1.80×5.01×20.04×100.22×801.74×
80.00×0.00×0.57×1.33×3.34×11.44×57.21×286.04×1,907×
90.00×0.00×0.45×1.09×2.26×7.24×27.17×135.84×724.49×3,622×
100.00×0.00×0.34×0.86×1.72×5.16×15.49×68.84×344.21×1,291×6,884×

Classic Keno, low risk paytable

Rows: numbers picked. Columns: hits. Values are payout multipliers.

Picks012345678910
10.59×2.16×
20.42×1.25×4.67×
30.29×0.87×2.31×13.48×
40.19×0.66×1.69×4.69×37.50×
50.14×0.48×1.24×3.33×11.43×85.74×
60.09×0.37×0.93×2.42×6.51×27.92×204.75×
70.00×0.35×0.78×1.74×4.35×12.17×60.84×434.55×
80.00×0.27×0.62×1.42×3.10×7.98×26.61×159.68×887.12×
90.00×0.27×0.53×1.16×2.22×5.33×16.00×71.11×355.53×1,778×
100.00×0.18×0.45×0.98×1.78×4.01×10.69×35.64×160.38×712.80×3,564×

Classic Keno, medium risk paytable

Rows: numbers picked. Columns: hits. Values are payout multipliers.

Picks012345678910
10.00×3.92×
20.00×0.78×11.76×
30.00×0.00×3.07×46.11×
40.00×0.00×1.73×9.76×97.56×
50.00×0.00×0.90×4.48×28.01×280.14×
60.00×0.00×0.00×3.27×12.59×113.35×755.69×
70.00×0.00×0.00×1.98×6.59×38.46×274.72×1,648×
80.00×0.00×0.00×1.23×4.11×18.49×102.70×616.18×3,081×
90.00×0.00×0.00×0.92×2.77×9.23×46.13×276.77×1,384×4,613×
100.00×0.00×0.00×0.70×1.91×6.09×21.76×130.54×696.23×2,176×6,962×

Classic Keno, high risk paytable

Rows: numbers picked. Columns: hits. Values are payout multipliers.

Picks012345678910
10.00×3.92×
20.00×0.00×16.99×
30.00×0.00×0.00×80.69×
40.00×0.00×0.00×10.12×253.00×
50.00×0.00×0.00×3.68×46.05×644.66×
60.00×0.00×0.00×0.00×11.13×324.50×1,391×
70.00×0.00×0.00×0.00×6.21×79.81×620.73×2,660×
80.00×0.00×0.00×0.00×3.66×29.30×219.75×1,099×6,226×
90.00×0.00×0.00×0.00×2.62×13.09×85.09×458.20×1,964×8,509×
100.00×0.00×0.00×0.00×2.09×7.17×35.87×179.33×896.64×2,989×8,010×

Keno paytable

Rows: numbers picked. Columns: hits. Values are payout multipliers.

Picks012345678910
10.00×3.92×
20.00×0.00×16.99×
30.00×0.00×3.33×43.25×
40.00×0.00×1.37×10.99×109.93×
50.00×0.00×0.00×6.34×29.57×506.96×
60.00×0.00×0.00×3.46×12.12×103.89×865.75×
70.00×0.00×0.00×1.80×7.18×39.50×269.33×1,796×
80.00×0.00×0.00×0.00×6.36×23.33×127.27×848.47×4,242×
90.00×0.00×0.00×0.00×3.75×13.12×56.22×281.10×1,874×7,496×
100.00×0.00×0.00×0.00×2.10×8.39×29.35×167.71×838.54×3,773×16,771×

How this is calculated

Ten numbers are drawn from 40 without replacement. The chance that exactly j of your n picks are drawn is C(n, j) × C(40 − n, 10 − j) ÷ C(40, 10), the hypergeometric distribution.

Each paytable starts from fixed relative weights and is scaled so that every pick count returns exactly 98%. That scaling is why payouts are rarely round numbers.

The honest partThe house edge (2%) applies to every bet. No strategy or setting changes the expected loss: the numbers picked and the paytable only change how often you win and how much. Anything can happen in a short session; over many bets the edge takes its share. Set a budget before you play. Responsible play

Questions

How many keno numbers should I pick?

The count changes the shape of the paytable, not the return: every pick count on every table returns 98%. Fewer picks pay small amounts often; more picks chase rare large hits.

What are the odds of hitting 10 out of 10?

With 10 picks, all 10 are drawn with probability 1 ÷ C(40, 10): 1 in 847,660,528.

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