Expected Value Calculator

A bet has positive expected value (+EV) when the true probability of winning is higher than the odds imply. Enter the odds and your estimated probability to find out.

The odds from your sportsbook

%

How likely do you think the outcome is?

$

What is expected value (EV)?

Expected value is the average amount you win or lose per bet if you placed it thousands of times. A positive EV (+EV) bet means you profit in the long run. A negative EV (-EV) bet means the sportsbook holds the edge.

The formula

EV = (probability × profit) − ((1 − probability) × stake)

Example: odds of +150 (decimal 2.50) with a true probability of 45%. Profit on a $100 bet if it wins = $150. EV = (0.45 × $150) − (0.55 × $100) = $67.50 − $55.00 = +$12.50 per bet.

How do I estimate the true probability?

  • Pinnacle closing lines — Pinnacle's closing odds are widely regarded as the sharpest in the market. Convert them to implied probability for a reliable baseline.
  • Your own model — if you build statistical models for NHL, CFL or NBA, use your model's output.
  • Consensus — average the implied probabilities across 5+ sportsbooks to strip out individual book bias.

Why does this matter?

Every profitable bettor, without exception, bets +EV. The house edge exists because sportsbooks set odds at slightly lower implied probability than reality. Finding spots where they are wrong — even by 2-3% — is the entire game.

18+ only. Gambling can be addictive — play responsibly. GameSense (AGLC) · Addiction Helpline (Alberta Health Services) 1-866-332-2322 (24/7, free, confidential).