What is EV (expected value) in poker?
Expected value (EV) is how much a decision wins or loses on average if you made it many times. A +EV decision makes money in the long run; a -EV decision loses money, even if it sometimes wins. Poker is about making as many +EV decisions as possible.
The formula
Section titled “The formula”EV = (chance to win × amount won) − (chance to lose × amount lost)
Example 1: calling with a draw
Section titled “Example 1: calling with a draw”On the turn the pot is $80, your opponent bets $20, and you have a flush draw with 9 outs. You hit about 20% of the time on the river (see the odds).
- Win: 20% × $100 (the $80 pot + the $20 bet) = +$20
- Lose: 80% × $20 (your call) = −$16
- EV = +$4 per call. Calling is +EV.
(For simplicity this ignores money you might win or lose on the river.)
Example 2: a bluff
Section titled “Example 2: a bluff”The pot is $60 and you bluff $30. If your opponent folds 40% of the time:
- Win: 40% × $60 = +$24
- Lose: 60% × $30 = −$18
- EV = +$6. The bluff is profitable. See when to bluff.
Pot odds are a shortcut
Section titled “Pot odds are a shortcut”You don’t have to calculate EV every time. Compare your chance to win with the pot odds: if your equity is higher than the share of the pot you must pay, the call is +EV.
Decisions vs results
Section titled “Decisions vs results”A +EV call can lose, and a −EV call can win. That’s variance. Judge your play by whether the decision was +EV, not by what happened in one hand. That’s also why poker is a skill game in the long run.
What does EV mean in poker?
Section titled “What does EV mean in poker?”Expected value: the average amount a decision wins or loses if repeated many times.
What is a +EV decision?
Section titled “What is a +EV decision?”A decision that makes money on average over the long run.
How do you calculate EV?
Section titled “How do you calculate EV?”Chance to win times amount won, minus chance to lose times amount lost.
Can a +EV decision lose?
Section titled “Can a +EV decision lose?”Yes. In a single hand anything can happen; EV shows the long-run average.