Lottery Odds Calculator
The exact jackpot odds of any pick-N-from-M lottery, bonus ball included — counted with combinations, not estimated. The number is bracing; that is the point.
Example — Odds of Lotto 6/491 in 13,983,816 — a 0.0000072% chance per ticket
Common games: Lotto 6/49 — 6 from 49, no bonus pool here. Powerball — 5 from 69 plus a bonus pool of 26 (set picks 5, pool 69, bonus 26). Mega Millions — 5 from 70, bonus 24.
How we got it — the example, step by step
- Possible tickets = C(49,6) = 49! ÷ (6! × 43!) = 13,983,816. Order does not matter, so it is a combination.
- Exactly one combination wins, so the chance is 1 in 13,983,816 per ticket.
Check it backwards
Two distinct tickets exactly double the chance to 2 in 13,983,816 — the combination count underneath recomputes identically from the factorial formula.
Questions people also ask
Do 'lucky numbers' or quick picks change the odds?
No. Every combination is exactly as likely as every other — 1, 2, 3, 4, 5, 6 included. Picking popular numbers does not change your chance of winning; it only raises the chance of sharing the prize if you do.