Expected Value (EV)
The average sum a bettor can expect to win or lose per wager across the long run.
Expected value, almost always shortened to EV, is a statistical measure capturing the average outcome of a bet were it repeated countless times under identical conditions. You arrive at it by multiplying each possible outcome by its probability and summing those products. A positive expected value (+EV) signals that a bet turns a profit over the long haul, whereas a negative expected value (-EV) means the bettor should expect to bleed money with time. Professionals and committed recreational bettors alike treat expected value as the single most important yardstick for judging whether a wager merits placing.
Grasping EV means divorcing the result of any one bet from the mathematical edge underpinning it. A +EV bet can still lose on a given night, and a -EV bet can still win. What counts is the pattern that surfaces across hundreds or thousands of wagers. Bettors who reliably locate and place +EV bets will, over a large enough sample, generate profit. Those who reliably take -EV bets will watch their bankroll erode, whatever short-term hot streaks intervene.
Example
Suppose you reckon a team has a 55% chance of winning, and the bookmaker offers odds of +110 (decimal 2.10) on that team. The EV calculation for a $100 bet runs: (0.55 x $110) - (0.45 x $100) = $60.50 - $45.00 = +$15.50. Put plainly, on average you would expect to profit $15.50 for every $100 staked on this kind of bet over the long run. Even though you lose 45% of the time, the payout on your wins more than offsets those losses.
Key Points
- Foundation of profitable betting: Every durable long-term strategy rests on spotting and exploiting positive expected value opportunities.
- Requires accurate probability estimates: An EV calculation is only as useful as the quality of your estimate of each outcome’s true probability.
- Short-term results may differ: A single bet, or even a run of bets, can deliver results that stray sharply from the expected value because of variance.
- The bookmaker’s edge is built-in: Most bets a sportsbook offers carry a negative expected value for the bettor, since the odds embed a margin (vig) tilted toward the house.
- Comparison tool: EV lets bettors weigh the quality of different wagers on one common scale, no matter the sport, bet type, or odds format involved.