Expected Value (EV)

What Is Expected Value in Poker?

Expected value (EV) is the average amount a decision wins or loses over the long run. Every action in poker, bet, call, raise, check, or fold, has an EV. Positive EV (+EV) decisions generate profit over time. Negative EV (-EV) decisions lose money. The entire objective of poker strategy, whether GTO or exploitative, is to maximize the EV of every decision you make.

The EV Formula

EV = (Probability of Winning x Amount Won) - (Probability of Losing x Amount Lost)

This formula weighs each outcome by its likelihood. Consider a simple example: you face a $50 bet into a $150 pot holding a hand with 40% Equity. EV of calling = (0.40 x $200) - (0.60 x $50) = $80 - $30 = +$50. The call is clearly profitable.

EV Separates Decision Quality from Outcomes

One of the most important concepts for developing players is that EV measures the quality of a decision, not the result. You can make a +EV all-in call with pocket aces against pocket kings and still lose 18% of the time. That loss does not make the call wrong. Over thousands of repetitions, the decision generates massive profit. Short-term results are noise; long-term EV is the signal.

Comparing EV Across Actions

Advanced players do not just ask whether a call is profitable. They compare the EV of every available option. Sometimes checking is +$5 EV, calling is +$12 EV, and raising is +$18 EV. Choosing the highest-EV action at every decision point is what separates winning players from breakeven ones.

Practical Example: River Bluff Decision

You reach the river with a missed draw and consider bluffing $75 into a $100 pot. You estimate your opponent folds 55% of the time. EV of bluffing = (0.55 x $100) - (0.45 x $75) = $55 - $33.75 = +$21.25. The bluff is profitable. Compare this to checking, which has an EV of $0 (you lose at showdown). The bluff is the higher-EV play.

Calculating EV with ThinkGTO

The Pot Odds Calculator helps you quickly assess whether calls are +EV by comparing Pot Odds against your equity. For full decision-tree EV analysis across every street, Solver+ displays the EV of every action at every node, revealing the precise value of each choice. For a comprehensive breakdown, read Pot Odds, Equity & Expected Value Explained.