Lottery odds calculator
Enter the pool size, how many numbers are drawn and how many you match, and see the odds as 1 in X and as a percentage.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Enter numbers in the pool, numbers drawn (and on the ticket) and numbers matched.
- The result appears straight away and updates as you edit.
- Copy the result, or copy a link that keeps the same values to share it.
How it is calculated
Hypergeometric distribution: ways = C(k, m) × C(N - k, k - m), and all tickets = C(N, k). Probability = ways / C(N, k), shown as 1 in X where X = C(N, k) / ways.
Example
Inputs: Numbers in the pool = 49, Numbers drawn (and on the ticket) = 6, Numbers matched = 6. Result: Odds: 1 in: 13,983,816; Probability: 0.000007%; Tickets with this result: 1.
Limits and caveats
- It covers single-pool games and does not include bonus balls from a separate pool.
- The odds are for one ticket and say nothing about prize values.
Questions about this tool
What are the odds of matching 3 in a 6 of 49 game?
About 1 in 56.66, roughly 1.77%.
Do two tickets double my chance?
Yes if the combinations differ, giving 2 in the total, which is still tiny for the jackpot.
Why is matching none so likely?
Most numbers in the pool are not drawn, so in a 6 of 49 game about 43.6% of tickets match nothing.