Lottery Odds Calculator
Calculate the exact odds of winning any lottery jackpot. Enter the total number pool, how many numbers you pick, and optional bonus ball parameters to see your precise probability of winning.
Lottery odds are calculated using combinatorics. The number of ways to choose k numbers from a pool of n is given by the combination formula C(n, k) = n! / (k!(n-k)!). Your chance of matching all numbers is 1 divided by this value.
With a bonus ball: The odds multiply. For example, Powerball requires matching 5 numbers from 69 (C(69,5) = 11,238,513 combinations) AND 1 bonus from 26, giving total odds of 1 in 292,201,338.
Putting it in perspective: You are far more likely to be struck by lightning (1 in 2.3 million per year), be dealt a royal flush (1 in 649,740), or find a four-leaf clover (1 in 10,000) than to win a major lottery jackpot. Despite the astronomical odds, billions of dollars in tickets are sold annually.