Poker
Poker equity
Poker equity is the portion of the pot a player can expect to win on average, based on the current hand's chance of winning at showdown.
- Also called
- hand equity; expected share of the pot1
- Applies to
- Hand-versus-range analysis in Texas hold ’em and similar variants, both pre-flop and post-flop2
- Range
- Expressed as a probability in [0,1] or as expected value (pot × win probability)1
- Calculation method
- Computed by combinatorics or simulation over possible run-outs3
Key points
- Equity is the chance your hand will win or tie at showdown, considering future cards and opponent holdings.4
- Poker calculators estimate equity by enumerating all possible board run-outs and counting wins and ties.5
- Fold equity is the extra equity gained when an opponent folds; it adds to your showdown equity.6
How to calculate poker equity
- Identify your hand and your opponent's likely range of hands.
- Enumerate all possible remaining community cards (run-outs).
- Count how many run-outs result in a win, a loss, or a tie for your hand.
- Divide the number of winning run-outs (plus half the ties) by total run-outs to get your equity as a percentage.3
Common questions
How to calculate poker equity?
To calculate poker equity, compare your hand against your opponent's range over all possible board run-outs. Count wins and ties, then divide winning outcomes (plus half the ties) by total outcomes. Poker equity calculators automate this process.3
Where this term is used
Not the same as
- Fold equity poker — fold equity is the extra equity gained from an opponent folding, not the underlying showdown equity of a hand6
Related terms
Poker
Fold equity poker
Explains the additional equity gained when an opponent folds to a bet.
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Full house poker
Describes the hand ranking of three of a kind plus a pair.
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Gto poker
Covers game theory optimal strategy for balanced play.
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Draw poker
Explains poker variants where players can exchange cards.
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Quads poker
Defines four of a kind, a high-ranking poker hand.
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Straight flush poker
A straight flush is a five-card poker hand where every card belongs to the same suit and the ranks form an unbroken s…
Sources
- Glossary of poker terms en.wikipedia.org Provides the definition and alternative names for poker equity.
- Poker strategy en.wikipedia.org Explains the application of equity in poker strategy.
- PokerStove - Wikipedia en.wikipedia.org Describes how poker calculators estimate equity via simulation.
- Pot odds en.wikipedia.org Relates equity to pot odds and showdown probability.
- Poker Arena: Multi-Axis Profiling of Strategic Reasoning ... arxiv.org Supports the use of simulation for equity calculation.
- Fold equity en.wikipedia.org Distinguishes fold equity from showdown equity.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.