Every decision in poker has an expected value, or EV: the average amount you win or lose if you made that exact decision thousands of times. Winning players don't think about whether they won a particular hand. They think about whether each decision had positive EV. Over enough hands, the money follows the EV.
The basic formula
EV is each possible outcome multiplied by its probability, added together:
EV = (chance of winning × amount won) − (chance of losing × amount lost)
A positive number means the play makes money on average. A negative number means it loses money, no matter how it turns out this time.
Example 1: the EV of a call
The pot is $100 on the river. Your opponent bets $50. You estimate you have the best hand 30% of the time. Should you call?
- If you call and win (30%), you win the $100 pot plus their $50 bet: +$150.
- If you call and lose (70%), you lose your $50 call: −$50.
EV = (0.30 × $150) − (0.70 × $50) = $45 − $35 = +$10.
Calling is profitable even though you lose 70% of the time. You only needed to be good 25% of the time to break even, because you are risking $50 to win $150. That 25% is the same number you get from pot odds: the call divided by the final pot ($50 ÷ $200).
Example 2: the EV of a bluff
The pot is $100 and you bet $75 as a pure bluff. If your opponent calls, you lose. How often do they need to fold?
- If they fold, you win +$100.
- If they call, you lose −$75.
Break-even fold rate = $75 ÷ ($75 + $100) = about 43%. If you think they fold more than that, the bluff makes money. If they fold 55% of the time, the EV is (0.55 × $100) − (0.45 × $75) = $55 − $33.75 = +$21.25.
Bigger bets need more folds to break even: a pot-sized bluff needs 50% folds, a half-pot bluff needs only 33%. The bet sizing calculator shows these numbers for any bet.
Why EV beats results
Poker has huge short-term luck. You can make a +EV call and lose, or a −EV call and win. If you judge decisions by results, you'll learn the wrong lessons: you might stop making good calls after losing a few, or keep chasing bad draws after they hit once.
Thinking in EV fixes that. After a session, ask "was this a good decision with what I knew?" rather than "did I win?" Our downswing study shows how long genuinely winning players can run below expectation, which is exactly why EV is the right yardstick.
EV in tournaments
In tournaments, chips and money aren't the same. A play can be +EV in chips but −EV in prize money, especially near the bubble. That's what ICM accounts for. Use chip EV early in a tournament and think in money EV as the payouts get close.
How to use EV at the table
- Estimate, don't calculate exactly. Rough equity and fold estimates are enough to spot clearly good and clearly bad plays.
- Compare options. Folding has an EV of zero from this point on, so any call or bet with positive EV beats folding.
- Review big hands later. Plug the numbers into the free EV calculator and the odds calculator to check your decisions away from the table.