How to Calculate Poker Equity
Equity is the share of the pot a hand wins on average if all remaining cards were dealt out. Three ways to get it: count your outs and apply the rule of 2 and 4 after the flop; memorise the common preflop matchups (aces are 81.9% against kings, ace-king is 43.3% against queens); or run a simulation for anything unusual. Equity on its own decides nothing — it only matters next to the price you are being asked to pay, and it falls fast when more players see the river.
What equity actually means
Your equity in a pot is the percentage of it you would win on average if the hand were dealt to the river right now, with no more betting. It is a statement about a distribution, not a prediction: a hand with 30% equity does not win 30% of a pot, it wins the whole pot 30% of the time. That distinction is why equity is only useful next to a price. Holding 30% is a disaster facing a pot-sized bet and a bargain facing a tiny one.
- •Hot and cold equity — both hands all-in, every remaining card dealt. This is what equity calculators report and what the numbers below are.
- •Equity realisation — what you actually capture when there is still betting to come. Position, stack depth and whether your hand can stand pressure all pull it away from the hot-and-cold figure.
- •Required equity — what the price demands, which is a pot odds question, not an equity one.
Method 1: count outs, then multiply
After the flop, the fastest route is to count the cards that improve your hand to a winner — your outs — and multiply. Outs x 4 with two cards still to come, outs x 2 with one. It is an approximation and it drifts high for big draws, but it is close enough to make a decision at the table:
- •Flush draw, 9 outs — about 35% from flop to river, 19% on the turn alone.
- •Open-ended straight draw, 8 outs — about 32% and 17%.
- •Two overcards, 6 outs — about 24% and 13%.
- •Gutshot, 4 outs — about 17% and 9%.
- •Pocket pair hoping to make a set, 2 outs — about 8% and 4%.
Method 2: know the preflop matchups
Preflop, outs counting does not apply — both hands have five cards to come and the interaction is what matters. These are the matchups worth knowing by heart. Each is the stronger hand's equity, measured here over 851,760,000 dealt hands across all 169 starting-hand classes, with every suit configuration weighted:
- •Aces against kings — 81.9%. The biggest preflop favourite you will realistically run into.
- •Aces against 7-2 offsuit — 88.0%. Even the worst hand in poker wins one time in eight.
- •Queens against ace-king suited — 53.8%, so ace-king suited has 46.2%. Offsuit it is 43.3%. The coin flip is not a coin flip.
- •Jacks against ace-king offsuit — 56.8% for the pair.
- •Pocket deuces against ace-king offsuit — 52.7% for the deuces. A pair of twos is a favourite over the best non-pair in poker.
- •Ace-five suited against king-queen offsuit — 60.5%. The ace and the straight and flush potential beat two higher cards comfortably.
The number that changes everything: how many players
Almost every equity figure you will read is heads-up, and people carry it into multiway pots where it is badly wrong. Equity against several opponents is not your equity against one of them divided by anything intuitive — it collapses, and it collapses hardest for hands that win by being slightly better rather than by making something. Measured against one, three and five random hands:
- •Pocket aces — 85.1% heads-up, 63.9% against three, 49.3% against five. Still the best hand, no longer a favourite to win the pot.
- •Ace-king suited — 67.2%, then 41.3%, then 31.1%.
- •Queens — 80.0%, then 53.5%, then 37.9%.
- •Jack-ten suited — 57.5%, then 34.0%, then 24.8%. It loses the least proportionally, because it wins by making straights and flushes rather than by holding.
- •Ace-deuce offsuit — 55.1%, then 25.6%, then 16.3%. A favourite heads-up and nearly worthless six ways.
Method 3: simulate it
For anything that is not a memorised matchup — a hand against a range, a specific board, Omaha, a three-way all-in — the honest answer is to deal the cards out many times and count. That is all an equity calculator does. Two things worth knowing about the output: a simulation reports a number with an error bar, so 46.2% from a long run and 46% from a short one are the same answer; and exact enumeration is possible for small cases, where every remaining board is dealt rather than sampled. All 1,712,304 boards for one fixed pair of hole cards takes under a second.
- •Hand against hand, or hand against a range — use the odds calculator.
- •Range against range, with the grid — use the range equity calculator.
- •Omaha, where exactly two hole cards must play — use the PLO equity calculator.
- •Just counting a draw — use the outs calculator.
Equity is half of a decision, never all of it
A number on its own does not tell you to call. Put it against the price: if calling costs you 25% of the final pot, you need more than 25% equity for the call to show a profit, and that comparison is the whole of a pot odds decision. Three things that break the simple version:
- •Implied odds — money you expect to win later when you hit. A draw to the nuts with deep stacks behind is worth calling below its raw equity.
- •Reverse implied odds — money you expect to lose when you hit and are still beaten. Second-best flushes are the classic example, and they are most of why Omaha punishes non-nut draws.
- •Realisation — you only collect hot-and-cold equity when the hand gets to showdown. Out of position against an aggressive player, a marginal hand captures less than its number says.
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Frequently asked
What's the difference between equity and pot odds?
Equity is what your hand is worth — the share of the pot it wins on average. Pot odds are what the price demands — the equity you need for a call to break even. You compare the two: equity above required equity is a profitable call, below it is not. People often use 'pot odds' loosely to mean both halves of that comparison.
Is the rule of 2 and 4 accurate?
Close enough to act on, and it drifts predictably. It overstates big draws with two cards to come — a flush draw is nearer 35% than the 36% the rule gives, and the gap widens with more outs. With one card to come, outs x 2 is accurate to about a percentage point across the common draws. Use it to decide, not to publish.
Why is ace-king called a coin flip against a pair?
Because it is close, not because it is even. Ace-king suited has 46.2% against queens and offsuit has 43.3%, so the pair is a real favourite — roughly 54/46 or 57/43. Against a smaller pair the gap narrows: ace-king offsuit still trails pocket jacks, 43.2% to 56.8%.
Can a pair of deuces really beat ace-king?
Preflop, all-in, yes — 52.7% of the time. Deuces are already a made hand, and ace-king has to improve to win, which it does slightly less than half the time. This flips the moment there is a board: on a flop with an ace or a king, the deuces are in serious trouble.
Does equity change as cards come out?
Constantly, and that is the point of recalculating on every street. A flush draw is about 35% on the flop and about 19% on the turn, because one of its two chances is gone. Equity is always a statement about the cards still to come.
How accurate are equity calculators?
A simulation is as accurate as the number of hands it deals, with error shrinking as the square root of that count — so four times the trials halves the error. For small, fixed problems, exact enumeration beats simulation outright: there are only 1,712,304 possible boards once four hole cards are fixed, and counting all of them is both faster and exactly right. Our figures for the matchups above come from 851,760,000 dealt hands.
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