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Keno Odds Explained

Every lottery ticket buys you one shot at every combination. Here's the full mathematical breakdown of your chances for every Keno prize tier — and honest context on what those numbers actually mean.

Jackpot odds

1 in 2,147,181

Total combinations

About 161884.6 trillion

161,884,603,662,657,876

Overall win odds

1 in 17

any prize, any tier

All Prize Tiers & Odds

Every official prize tier for Keno, with context on what those odds actually look like.

TierNumbers to matchOddsTypical prize
JackpotTop Prize10 numbers1 in 2,147,1812× more likely than the chance of being struck by lightning this yearVaries by draw
Type 99 numbers1 in 383,8387× more likely than the chance of turning professional as a young athleteVaries by draw
Type 88 numbers1 in 74,941about as likely as turning professional as a young athleteVaries by draw
Type 77 numbers1 in 11,047about as likely as finding a four-leaf clover on your first tryVaries by draw
Type 66 numbers1 in 3,386about as likely as getting a hole-in-one (average golfer)Varies by draw
Type 55 numbers1 in 1,5496× more likely than the chance of having identical twinsVaries by draw
Type 44 numbers1 in 1896× more likely than the chance of flipping heads 5 times in a rowVaries by draw
Type 33 numbers1 in 26about as likely as flipping heads 5 times in a rowVaries by draw
Type 22 numbers1 in 172× more likely than flipping heads 5 times in a rowVaries by draw

How the maths works

Lottery odds come from combinatorics — counting how many ways you can choose a subset of numbers from a pool. The formula is:

C(n, r) = n! / (r! × (n − r)!)

where n = pool size, r = numbers to choose

For Keno, you pick 20 numbers from 170 (a pool of 70 numbers):

C(70, 20) = 70! / (20! × 50!) = 161,884,603,662,657,876 combinations

Each ticket covers exactly one combination, so your jackpot odds are 1 in 161,884,603,662,657,876 — which matches the official published odds of 1 in 2,147,181.

Does buying more tickets help?

Yes — but the improvement is smaller than you might think. Each ticket adds one independent combination to your entry. With n tickets, your jackpot odds become n in 2,147,181:

TicketsJackpot oddsApproximate cost
11 in 2,147,181~$2 USD
51 in 429,436~$10 USD
101 in 214,718~$20 USD
501 in 42,944~$100 USD
1001 in 21,472~$200 USD
Buying 100 tickets still leaves your jackpot odds at roughly 1 in 21,472 — statistically indistinguishable from 1 ticket. Syndicates can pool entries but do not change the underlying probability per ticket.

Frequently asked questions

What are the odds of winning the Keno jackpot?
The odds of winning the Keno jackpot are 1 in 2,147,181. That means for every ticket you buy, you have a 1 in 2,147,181 chance of matching all numbers correctly.
How are Keno odds calculated?
Keno odds are calculated using combinatorics — specifically the combination formula C(n,r) = n! / (r! × (n-r)!). You pick 20 numbers from 1–70, giving C(70,20) = 161,884,603,662,657,876 combinations. The total is 161,884,603,662,657,876 possible outcomes.
Does buying more Keno tickets improve my odds?
Yes — each additional ticket gives you one extra combination. If the jackpot odds are 1 in 2,147,181 and you buy 10 tickets, your odds become roughly 10 in 2,147,181, or 1 in 214,718. That said, even 10 tickets still leaves you with an astronomically small chance of winning the jackpot.
What are the best numbers to pick for Keno?
There are no "best" numbers. Every combination has an identical probability of being drawn. Quick picks (random numbers) are statistically equivalent to any hand-picked combination. This generator uses cryptographically strong randomness so your picks are as random as possible.
What is the overall chance of winning any prize in Keno?
The overall odds of winning any prize in Keno are approximately 1 in 17, which accounts for the lowest prize tier. Most prizes are small fixed amounts rather than the jackpot.

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