Calculate the number of combinations and the chance of winning with a given number of tickets.
| Combinations | – |
| P(win) | – |
Use this calculator for a classic lottery draw: r winning numbers chosen from n, unordered, without replacement. It reports how many distinct tickets exist and the probability that at least one of your tickets matches the jackpot combination (assuming distinct tickets).
The number of ways is C(n, r) = n! / (r! (n − r)!). The win probability is tickets / ways. A 6-from-49 game has 13,983,816 combinations; one ticket has probability about 7.15 × 10⁻⁸.
This ignores bonus balls, prize tiers below jackpot, ordered draws, and ticket overlap. r must not exceed n, and you cannot hold more distinct tickets than there are combinations.
Pool size (n): How many numbers are in the pool, for example 49.
Drawn (r): How many numbers are drawn, for example 6.
Tickets: How many distinct combinations you hold.
Combinations: Number of possible tickets, C(n, r).
P(win): Probability that one of your tickets is the jackpot combination.
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