Lottery Odds Calculator
Calculate the exact odds of winning any lottery.
Enter the numbers to pick, total pool, and optional bonus ball to see your probability and expected value.
Lottery Odds
Lottery odds use combinatorics to calculate the exact probability of matching all numbers.
Odds = 1 / C(n, k) where C(n, k) = n! / (k! × (n-k)!)
With a bonus ball from a separate pool:
Odds = 1 / (C(n, k) × bonus_pool_size)
Popular lottery odds:
- Powerball (5/69 + 1/26): 1 in 292,201,338
- Mega Millions (5/70 + 1/25): 1 in 302,575,350
- EuroMillions (5/50 + 2/12): 1 in 139,838,160
- 6/49 Lotto: 1 in 13,983,816
Expected value tells you what a ticket is “worth” mathematically:
EV = (Jackpot × Probability) - Ticket Cost
A $2 Powerball ticket with a $100M jackpot has an EV of about -$1.66 (you lose $1.66 on average per ticket).