Lottery Odds Calculator

Calculate your exact odds of matching all the numbers in a typical 'pick N from a pool' lottery format.

Total Possible Combinations-
Odds of Winning-
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How Lottery Odds Are Calculated

Most lotteries ask you to pick a fixed number of unique numbers from a larger pool, where the order doesn't matter - a classic combinatorics problem solved with the binomial coefficient.

Formula

Total Combinations = C(Pool Size, Numbers Picked), calculated as Pool! ÷ (Picked! × (Pool - Picked)!)

How to Use This Calculator

Example

Picking 6 numbers from a pool of 49 (a classic 6/49 lottery format) gives odds of about 1 in 13,983,816.

Frequently Asked Questions

How are lottery odds calculated?

Using combinatorics — the number of ways to choose your winning numbers out of all possible combinations.

Why are jackpot odds so much lower than smaller prizes?

Jackpots require matching every number exactly, a far more restrictive combination than partial matches.

Does buying more tickets meaningfully improve my odds?

It improves them proportionally, but base odds are usually so tiny the absolute improvement stays small.

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