Worked Examples
Identifying a Positive EV Bet
A bookmaker offers odds of 2.50 on a football team to win. Your analysis suggests this team has a 45% probability of winning. Enter odds 2.50, probability 45%, and stake £100. The calculator shows an expected value of +£12.50 per bet (EV% = +12.5%). This means that over many identical bets, you'd expect to profit £12.50 for every £100 staked — a strong positive expected value that makes this bet worth taking long-term.
Spotting a Negative EV Bet
A bookmaker offers odds of 1.80 on a tennis player to win a set. You believe the true probability is 50%. Enter odds 1.80, probability 50%, and stake €50. The calculator shows an expected value of -€5.00 per bet (EV% = -10%). Despite a coin-flip probability, the odds don't compensate enough — you'd lose €5 on average for every €50 staked. This is a bet to avoid regardless of how confident you feel about the outcome.
Comparing Markets for Best Value
You estimate a boxer has a 40% chance of winning. Bookmaker A offers odds of 2.80, while Bookmaker B offers 2.40. For Bookmaker A: EV = (0.40 × 1.80) - (0.60 × 1.00) = +12%, a profitable bet. For Bookmaker B: EV = (0.40 × 1.40) - (0.60 × 1.00) = -4%, a losing proposition. Same event, same probability estimate, but one is +EV and the other is -EV. Always compare odds across bookmakers before placing your bet.