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Expected Value Calculator

Find out if a bet is profitable long-term based on your probability estimate.

Odds Format

Expected Value per Bet

+$12.50

+12.50% of stake

This is a +EV bet

If your probability estimate is accurate, this bet will be profitable long-term.

Book's Implied Prob

40.0%

Your Edge

+5.0%

Break-Even Prob

40.0%

Potential Profit

$150.00

Over 100 bets at this stake:

Expected Wins

45

Expected Losses

55

Expected Profit

+$1250.00

What is Expected Value?

Expected Value (EV) is the average amount you can expect to win or lose per bet if you placed the same bet thousands of times. A positive EV (+EV) bet is profitable long-term; a negative EV (-EV) bet loses money over time, regardless of individual outcomes.

The EV Formula

Expected Value formula:

EV = (Win Prob × Profit) - (Lose Prob × Stake)

Example at +150 with 45% win rate:

EV = (0.45 × $150) - (0.55 × $100)

EV = $67.50 - $55.00 = +$12.50

Finding +EV Bets

  • +EV exists when your true probability estimate exceeds the implied probability
  • Line shopping can create +EV when books disagree on odds
  • Opening lines and props often have the most +EV opportunities
  • Be honest about your probability estimates—overconfidence destroys edge

EV vs Actual Results

Important: EV is a long-term concept. You can make a +EV bet and still lose. You can make a -EV bet and still win. Over hundreds or thousands of bets, your actual results will converge toward your expected value. Trust the process.