Expected Value (EV)

The average per-bet result a bettor should expect to win or lose across a large sample.

Expected value, abbreviated EV, is a statistical measure capturing the average result of a bet if it were repeated many times under identical conditions. You compute it by multiplying each possible outcome by its probability and summing the products. Positive expected value (+EV) signals a bet is profitable over the long run; negative expected value (-EV) signals the bettor should expect to lose money over time. Professional and serious recreational bettors regard EV as the single most important metric for judging whether a wager merits placement.

Grasping EV means decoupling the result of a single bet from the mathematical edge driving it. A +EV bet can still lose on any given occasion, and a -EV bet can still win. What counts is the pattern across hundreds or thousands of wagers. Bettors who reliably locate and place +EV bets will, over a sufficient sample, generate profit. Those who reliably take -EV bets will watch their bankroll erode, irrespective of any short-term hot streaks.

Example

Suppose you estimate a team has a 55% chance of winning a game, and the bookmaker offers +110 (decimal 2.10) on that team. The EV calculation for a $100 bet is: (0.55 x $110) - (0.45 x $100) = $60.50 - $45.00 = +$15.50. On average, then, you would expect to profit $15.50 for every $100 staked on this type of bet over the long run. Even though you lose 45% of the time, the payout on wins more than offsets those losses.

Key Points

  • Foundation of profitable betting: Every durable long-term betting strategy rests on identifying and exploiting positive expected value opportunities.
  • Requires accurate probability estimates: The value of an EV calculation hinges entirely on how well you estimate the true probability of each outcome.
  • Short-term results may differ: A single bet, or even a run of bets, can produce results that diverge sharply from the expected value due to variance.
  • The bookmaker’s edge is built-in: Most bets a sportsbook offers carry negative expected value for the bettor, because the odds include a margin (vig) tilted toward the house.
  • Comparison tool: EV lets bettors weigh the quality of different wagers on a shared scale, regardless of sport, bet type, or odds format.