Break-Even Lottery Spending Calculator

Break-Even Lottery Spending Calculator

Is a lottery ticket ever a mathematically "good bet"? This calculator computes exact expected value and shows what prize amount would be needed to break even at given odds.

Formula

Expected Value Per Ticket = (Prize / Odds Denominator) - Ticket Cost
Break-Even Prize = Ticket Cost x Odds Denominator

Example

1-in-300,000,000 odds, a $100,000,000 prize, $2 ticket cost:

Expected Value = (100,000,000/300,000,000) - 2 = -$1.67 per ticket (negative expected value)

Why Lottery Expected Value Is Almost Always Negative

Lottery games are structured so that, in the vast majority of cases, actual prize amounts fall below the break-even figure calculated here - ticket revenue funds government programs, prize pools, and administrative overhead, meaning the expected value of a typical lottery ticket is negative by design, not by accident.

Entertainment, Not Investment

This is standard for all lottery games and most gambling products generally - they should be understood and budgeted for as entertainment products with a real cost, not as investment vehicles with positive expected financial return.