Expected Value Calculator

Determine if a bet has positive expected value (+EV). Enter odds and your estimated true probability to see if the bet is profitable long-term.

Please enter valid odds
Please enter a probability between 0.1% and 99.9%
Please enter a valid stake amount
Results
Expected Value --
Edge --
Implied Probability --
Verdict --

How to Use This Calculator

  1. Select your odds format (Decimal, Fractional, or American)
  2. Enter the bookmaker’s odds for the selection
  3. Enter your estimated true probability of winning (as a percentage)
  4. Enter your planned stake amount
  5. View the expected value, edge percentage, and whether the bet is +EV

Formula

Expected Value = (Win Probability × Profit) - (Loss Probability × Stake)

EV per unit = (p × (Decimal Odds - 1)) - (1 - p)

Edge % = EV per unit × 100

Where p = your estimated win probability (as a decimal)

Frequently Asked Questions

What is expected value in betting?

Expected value (EV) is the average amount you expect to win or lose per bet over the long run. A positive EV (+EV) means the bet is profitable long-term, while negative EV (-EV) means you will lose money over time.

What does +EV mean?

A +EV (positive expected value) bet means you have an edge over the bookmaker. If you consistently place +EV bets, you will be profitable in the long run, even though individual bets can still lose.

How do I estimate the true probability?

You can estimate true probability using your own research, statistical models, or by comparing odds across multiple bookmakers. The key is having a more accurate probability estimate than the bookmaker.

Can I lose money on +EV bets?

Yes, individual +EV bets can lose. Expected value is a long-term concept. Over hundreds or thousands of bets, positive EV will result in profit, but short-term variance means individual losses are normal.