Lottery Odds Calculator
Find the odds of winning Powerball, Mega Millions, EuroMillions or any lottery from its rules.
About the Lottery Odds Calculator
Lottery odds come from combinations: the number of ways to choose k numbers from n is C(n, k) = n! ÷ (k!(n − k)!). Multiply by the bonus-ball combinations. Powerball's jackpot odds are 1 in 292,201,338; Mega Millions (since its April 2025 redesign: 5 of 70 plus 1 of 24) 1 in 290,472,336; EuroMillions 1 in 139,838,160. Every combination is equally likely, so 'lucky' numbers don't change the odds, though avoiding popular ones reduces the chance of sharing a jackpot.
The formula
Jackpot odds = C(n, k) × C(bonus n, bonus k)
Worked example
Example: Jackpot odds = 1 in 292,201,338
- Inputs: Game: Powerball (5/69 + 1/26); Tickets bought: 5.
- Formula: Jackpot odds = C(n, k) × C(bonus n, bonus k)
- Result: Jackpot odds = 1 in 292,201,338
Questions people ask
Do more tickets help?
Linearly: 10 different tickets give 10× the (still tiny) chance.
Is the expected value positive?
Almost never; on average lotteries return about half of ticket sales.