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Poker Equity: Your Share of the Pot, Computed

Poker equity is your share of the pot if all the remaining cards were dealt, counting a split pot as half. A♠A♥ against K♣K♦ before the flop has 81.3%: over many deals, aces win about four pots in five. Equity is computed by dealing every possible board, and it becomes a decision once you compare it with the price of the call, the pot odds.

Compute an equity

Classic matchups, computed exactly

MatchupEquity of the first handWhen
A♠A♥ vs K♣K♦81.3%before the flop
9♠9♣ vs A♥K♦55.7%before the flop
A♥K♦ vs 2♣2♠47%before the flop
8♠7♠ vs A♥K♦41.9%before the flop
A♥Q♦ vs A♠K♣26%before the flop
J♥3♥ vs K♣Q♦ on K♠ 8♥ 5♥36.6%on the flop
7♦7♣ vs A♠K♠ on J♠ 8♠ 7♥74%on the flop

Each line is an exact count over every remaining board, not a simulation: equity = (wins + ties ÷ 2) ÷ boards dealt. The famous "coin flip", a pair against two higher cards, is not quite even: 9♠9♣ has 55.7% against A♥K♦, while 2♣2♠ is a slight favorite at 53% against the same hand. Detail by type of hand: pair vs overcards, dominated hands, flush draw vs top pair.

Equity is not winning chances

Ties count as half. A♠K♣ against A♥K♦ wins outright only 2.2% of the time, yet has 50% equity: almost every board splits the pot. That is why equity, not the chance to win outright, is what you compare with the price.

From equity to a decision

Compare your equity with the equity the price requires, the pot odds. Facing a pot-sized all‑in, you call 100 to win a pot of 300 and need 33.3%. With J♥3♥ against K♣Q♦ on K♠ 8♥ 5♥, your 36.6% against that exact hand is enough: calling wins money in the long run, which is its expected value.

Two limits:

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Sources

Frequently asked questions

What is equity in poker?

Your share of the pot if all the remaining cards were dealt, counting a split pot as half. A♠A♥ against K♣K♦ before the flop has 81.3% equity.

How is equity calculated?

By dealing every possible board and counting wins, plus half of the ties. Before the flop, that is 1,712,304 boards for two known hands; a calculator does it in a second.

Is equity the same as winning chances?

Not quite: ties count as half. A♠K♣ against A♥K♦ wins outright only 2.2% of the time, yet has 50% equity, because almost every board splits the pot.

How do I use equity at the table?

Compare it with the price of the call. If you need 33.3% and your equity is higher, calling pays in the long run, as long as you can realize that equity.

How we made this page

The spots come from our library of 647 puzzles. Their expected answers follow rules we wrote and explain on each puzzle; they are not solver outputs. 12 figures on this page are recomputed from the cards by our automated tests. Written with the help of AI tools, then reviewed and checked by our team.

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