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KENO CALCULATOR

Work out the exact probability of matching your Keno spots on a Stake-style 40-number, 10-draw board. Pure hypergeometric odds — not operator pay tables.

Your Keno Ticket
Chance of Exactly m
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Expected Hits
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Chance of Zero Hits
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Stake-style Keno draws 10 numbers from a pool of 40. If you pick n spots, the chance of matching exactly m of them is the hypergeometric probability C(n,m)·C(40−n,10−m) / C(40,10). These are hit odds only; the payout for each hit count is set by the operator, so it is not shown here.

Not sure which to choose? See what we recommend for each type of player.

FULL HIT-DISTRIBUTION TABLE (updates with your spot count)

Hits (m)ProbabilityApprox. Odds
021.6572%1 in 5
141.6484%1 in 2
227.7656%1 in 4
37.9330%1 in 13
40.9574%1 in 104
50.0383%1 in 2,611

Default shown for a 5-spot ticket. Change the spot count above to recalculate.

HOW KENO ODDS WORK

Keno is a lottery-style draw. In the Stake-style version used here the game picks 10 winning numbers from a pool of 40. Before the draw you choose n of those 40 numbers (1 to 10 spots). Your result is how many of your picks appear among the 10 drawn.

The maths is the hypergeometric distribution — drawing without replacement. The chance of matching exactly m of your n spots is C(n,m) × C(40−n, 10−m) / C(40,10), where C(40,10) = 847,660,528 is the number of possible draws. For example, on a 5-spot ticket you have about a 21.66% chance of zero hits, and only about a 0.038% chance (roughly 1 in 2,611) of hitting all five. Whatever number of spots you pick, your expected number of hits is always n × 10 / 40 = n/4.

The odds above are fixed by the maths of the draw — there is no pattern or hot number that changes them. What each hit count pays is an operator-specific pay table, so check your casino, and confirm a real draw with the Keno provably fair verifier.

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KENO CALCULATOR FAQ

Keno uses the hypergeometric distribution because numbers are drawn without replacement. With a 40-number pool and 10 drawn, picking n spots, the chance of matching exactly m is C(n,m) × C(40-n,10-m) / C(40,10). This tool computes the full hit distribution for any 1-to-10 spot ticket. It does not calculate payouts, which are operator-specific.
It gets steeply rarer as you add spots. Hitting all your picks is about 25% for a 1-spot ticket, roughly 0.038% (about 1 in 2,611) for a 5-spot ticket, and around 1 in 8.9 million for a 10-spot ticket. Bigger tickets pay far more for a full match precisely because a full match is so unlikely.
On this 40-pool, 10-draw format your expected hits are always your spots divided by four: n × 10/40 = n/4. So a 4-spot ticket averages 1 hit, an 8-spot ticket averages 2 hits. The average is the same story regardless of which numbers you choose — only the spread of outcomes changes.
No. It computes probabilities only. On a provably-fair Keno game the 10 numbers come from a hashed server seed that is revealed only after the round, so the draw cannot be predicted. Use our Keno verifier to check that a past draw was fair.