Enter your lottery's pool size, numbers drawn, and optionally a bonus ball pool to calculate your exact odds of winning. The Lottery Odds Calculator computes the probability of matching any number of balls — from jackpot to partial matches — so you know precisely how unlikely (or unlikely) that ticket really is.
Odds of Winning (1 in X)
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Win Probability
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Odds With Your Tickets (1 in X)
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Total Possible Combinations
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Winning Combinations
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The calculator uses combinatorics — specifically the combination formula C(n, r) = n! / (r! × (n−r)!) — to count the total number of ways to pick your numbers from the pool. The odds of winning are the number of winning combinations divided by the total possible combinations. If a bonus ball is included, the bonus pool odds are multiplied in separately.
The core formula is: odds = C(n, r) / [C(r, m) × C(n−r, r−m)], where n is the pool size, r is the number of balls drawn, and m is the number you need to match. For a jackpot where you must match all drawn numbers, this simplifies to 1 in C(n, r).
In a 6/49 lottery you pick 6 numbers from 49. The number of possible combinations is C(49, 6) = 13,983,816. So your jackpot odds are 1 in 13,983,816 — roughly a 0.0000072% chance. Buying more tickets reduces the odds proportionally.
Powerball draws 5 white balls from a pool of 69, plus 1 red Powerball from a pool of 26. The jackpot odds are C(69,5) × 26 = 292,201,338 — so roughly 1 in 292 million per ticket.
Each additional ticket gives you one more combination, so 10 tickets gives you 10 in 292 million odds for Powerball — still extremely small. You'd need to buy millions of tickets to push your probability above even 1%.
A bonus ball is drawn from a separate pool (like Powerball's red ball). To win the jackpot you must match all main draw numbers AND the bonus ball. Because you multiply the two independent probabilities together, the bonus ball dramatically reduces jackpot odds — often by a factor of 20–30×.
Yes — statistically, Quick Picks have the same odds as any other number selection, and because they make up the majority of tickets sold, most jackpot winners have used them. The lottery draw is random, so no set of numbers is inherently luckier than another.
Frequency statistics vary by lottery, but commonly cited 'hot' numbers include 23, 32, 61, 64, 69, and 20 for Powerball over historical draws. However, each draw is independent and random, so past frequency has no bearing on future results.