Lottery Expected Value

Estimate the average gain or loss from buying a lottery ticket based on prize amount, odds, and ticket cost.

Educational purposes only. Not professional advice.

Examples

  • Prize 1000, prob 0.001, cost 2 ⇒ -1
  • Prize 5000, prob 0.0005, cost 5 ⇒ -2.5
  • Prize 100, prob 0.02, cost 1 ⇒ 1

FAQ

What is expected value?

It's the average outcome if the lottery could be played many times.

Should probability be a decimal?

Yes, enter odds as a decimal between 0 and 1.

Can expected value be negative?

Yes, most lotteries have negative expected value.

Additional Information

  • Result unit: same as prize