// Free tool

Expected Value Calculator

Expected value (EV) is the average amount a bet wins or loses if you could place it many times. Enter the odds, your own win probability and your stake to see it.

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How to use it

  1. 1 Choose an odds format and type the odds you can bet at.
  2. 2 Enter your own estimate of the chance the bet wins, as a percentage.
  3. 3 Enter your stake, then read the EV in dollars, the EV as a percent of stake, and the break-even probability.

What expected value means

EV is a long-run average, not a prediction for one bet. A bet with +$12.50 EV can still lose on any single try, but if your probability is right, placing many such bets would average out to $12.50 of profit each.

EV is only as accurate as your win probability. The calculator cannot know the true chance, so the result is only a reliable guide if your estimate is. A common starting point is a no-vig fair price from a sharp market.

How it is calculated

EV in dollars is your win probability times the profit if it wins, minus your loss probability times the stake. EV percent divides that by the stake. The break-even probability is one divided by the decimal odds: the win rate you need just to cover the price.

This calculator treats a bet as win or lose. It does not model a push, where the stake is returned, which can happen on whole-number spreads and totals.

Worked example

You can bet +150 and you estimate the chance of winning at 45%. With a $100 stake, a win profits $150 and a loss costs $100.

EV is 0.45 x $150 minus 0.55 x $100, which is $12.50, or 12.50% of the stake. The break-even probability at +150 is 40.00%, so your estimate is 5.00 points above it (shown as +5.00 pts).

The formula

profit if win = stake x (decimal odds - 1) EV = p x profit - (1 - p) x stake EV % = EV / stake break-even probability = 1 / decimal odds

Frequently asked questions

A +EV (positive expected value) bet is one where your estimated win probability is higher than the break-even probability implied by the odds. Over many bets it would be expected to make money, but any single bet can still lose.
From a model, or from a sharp market with the vig removed. A no-vig calculator can turn a two-way line into a fair probability you can use here.
It is the win rate you need for the bet to have zero EV, which is one divided by the decimal odds. At +150 it is 40%; at -110 it is 52.38%.
No. EV is an average over many bets. Variance means even strongly positive EV bets lose often, and an overestimated probability can make a bet look better than it is.
That depends on your bankroll and how sure you are of your edge. The Kelly Criterion calculator gives a stake size from the same inputs.

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Calculators show math, not advice, and no result guarantees a profit. 21+ only. If gambling stops being fun, get help.