Lottery Odds Calculator

Jackpot odds and expected value from pool and picks.

Input Parameters

Pool size

Pick count

Jackpot

Ticket price

Calculation Summary

Jackpot odds

1 : 13,983,816

C(49,6) = 13,983,816 combinations

Expected value−1.28

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About this calculator

A lottery odds calculator that shows your chance of matching every number in a pick-k-of-n draw and the expected value of a ticket for a given jackpot and ticket price.

Frequently asked questions

How are lottery odds calculated?

The number of possible tickets is the combination C(n, k) = n! / (k!(n−k)!). For a 6/49 draw that is 13,983,816, so one ticket has a 1 in 13,983,816 chance.

What is the expected value of a ticket?

Jackpot divided by the number of combinations, minus the ticket price. It is almost always negative, and real payouts are lower still because of taxes and shared jackpots.

Does buying more tickets help?

Each different ticket adds one combination, so 10 tickets give 10 in C(n, k) — the odds improve linearly but stay tiny for big draws.