Equity in poker: what it is, how to calculate it and how to use it

Equity in poker is your share of the pot if every remaining card were dealt right now and nobody could bet again. Hold 60% equity in a $100 pot and $60 of it is, on average, yours; the other $40 belongs to your opponent. The number comes from how often your hand wins, plus half of the hands it ties.

That sounds simple, and the definition is. The hard part is using it: estimating equity at the table, measuring it against a range instead of one imagined hand, and knowing why a hand with 45% on paper often wins far less than 45% of the money. This guide covers each step with numbers we calculated by full enumeration of every possible board.

How poker equity works

Every hand that still has cards to come has a fixed probability of finishing best. Equity turns that probability into a slice of the pot. It ignores future betting: it answers “who is ahead right now, and by how much?” rather than “who will win the most money?”.

Equity in a pot

To see it in dollars, take a pot of $200 with two players all in before the flop: you with A♥ A♦, your opponent with K♣ K♠. Across all 1,712,304 possible boards, the aces win 81.3% of the time and the kings 18.7%. So your equity is worth $162.60 of that pot and your opponent’s is worth $37.40. You’ll still lose roughly one time in five; equity tells you what the hand is worth over many repeats, not what happens this time.

This is why players talk about “getting the money in good”. If you put $100 in with 81% equity, the expected value of your stake is $162.60, a profit of $62.60 per repeat, even on the nights the kings spike a third king. Our guide to EV in poker takes that idea further, from a single all-in to whole decisions.

Ties count as half

When two hands can split the pot, a tie gives each player half. The equity formula reflects that: equity = wins + ties ÷ 2.

The clearest example is the same hand against the same hand. Run A♥ K♥ against A♣ K♦ and the two players split 90.7% of the time. The suited ace-king wins outright 7.2% (by making a heart flush the other hand can’t), loses 2.2%, and ends with 52.5% equity: 7.2% + 90.7% ÷ 2.

Calculators list wins, ties and equity separately. If you only look at the “win” column, A♥ K♥ against A♣ K♦ seems hopeless at 7%. The equity column, 52.5%, is the one that tells you what the hand is worth.

Hand vs hand: common preflop matchups

Most all-ins before the flop fall into a few familiar shapes, and once you know the shape you know the rough split. The table below lists common matchups with exact equities, calculated over every possible five-card board. Suits are chosen so the hands share none, which matters more than most players expect.

Three patterns cover most of the table:

• Pair against two higher cards (T♠ T♣ against A♥ K♦): close to 55/45 for the pair. This is the classic coinflip. A tiny pair against suited overcards, such as 2♣ 2♦ against A♥ K♥, is a true 50/50.
• Domination (A♥ K♦ against A♣ Q♠): one hand shares a card with the other and has the better kicker. The dominating hand sits around 70–75%, because the dominated hand needs its kicker to pair without the other hand improving.
• Two higher cards against two lower cards (A♥ K♦ against J♥ T♠): roughly 60–65%. Connected or suited low cards stay closer to 35–40% than unconnected ones.

Two details from the table catch people out. Suits matter: tens are 57.3% against A♥ K♦ but only 53.9% against A♥ K♥, because the suited ace-king adds flush draws. And A♥ A♦ against 8♠ 7♠ is “only” 77/23, not the 85% that aces have against a random hand: suited connectors make straights and flushes often enough to keep a real share.

Hand vs range: the number that actually matters

Nobody announces their cards. When an opponent bets or shoves, they could hold any of the hands they’d play that way, which is their range. Your equity is your hand’s average result against every hand in that range, weighted by how many combinations of each exist.

To show how much the range changes the answer, here is one hand, Q♠ Q♣, against three different all-in ranges. Each figure comes from 300,000 simulated deals.

Now put a price on it. In a $0.50/$1 cash game you open to $3 from the cutoff with Q♠ Q♣, the button moves all in for $100 and both blinds fold. The pot holds $104.50, you must call $97, and the final pot would be $201.50. You need 97 ÷ 201.50 = 48.1% equity to break even.

• Against KK+ and AK only, 40% is short: the call loses about $17 on average.
• Against TT+, AQs+ and AKo, 53% clears the bar: the call gains about $10.
• Against the widest range, 59%: the call gains about $21.

The cards didn’t change. Only your read on the button did, and it turned the same queens from a fold into a clear call. That’s why reading your opponents and their ranges is half of any equity decision, and why the full table of “bet size → equity needed” lives in our guide to pot odds.

Range vs range

The next step up compares your whole range with your opponent’s whole range on a given board. Nobody plays a single hand in a vacuum; the button opens many hands, the big blind calls with many hands, and the flop hits those ranges differently.

The side whose range holds more equity on a board is said to have the range advantage there. A flop like K♦ 7♣ 2♠ favours the preflop raiser, whose range has more strong kings and big pairs. A low connected flop like 8♠ 7♠ 6♦ narrows the gap, because the big blind calls with more suited connectors and small pairs. We worked through six flops with button and big blind ranges in our guide to board texture; the short version is that range advantage tells you how often and how big you can bet, which is the core of GTO poker strategy.

How equity changes street by street

Equity isn’t fixed after the deal. Each card moves it, sometimes hugely. To see how far, follow one matchup with both hands face up: J♣ T♣ against A♦ A♥. Before the flop the jack-ten has 21.7%.

On Q♣ 9♣ 4♥ the underdog becomes the favourite: 56.3% against 43.7%. Any club, any king and any eight complete a flush or a straight, which is 15 outs with two cards to come, and a few runner-runner boards add a little more. The aces are now drawing to the board pairing or to a lucky ace.

The 4♦ looks harmless, yet the jack-ten falls to 29.5%. With one card left, the draw has 13 clean outs, not 15: the A♣ and the 4♣ would give the aces a full house even as they complete the flush. Thirteen outs from 44 unseen cards is 29.5%. Pairing boards cost flush and straight draws more than most players notice.

How to estimate equity at the table

You can’t run a calculator mid-hand, so players use outs. An out is a card that should turn your hand into the winner. Multiply your outs by 4 on the flop (two cards to come) or by 2 on the turn (one card to come) and you have a rough equity percentage. That’s the rule of 2 and 4.

It’s close for normal draws and drifts at the edges. Fifteen outs on the flop give 54.1%, not 60%: the rule overstates big draws because some of those “two chances” overlap. Nine outs on the turn give 19.6%, a touch more than the rule’s 18%. Our outs table lists the exact figures for every count, along with the trap of counting outs that also improve your opponent, like the A♣ in the hand above.

Against a single hand, count outs. Against a range, ask what share of that range you beat right now and how often you improve against the rest. That second habit gets you much closer to a calculator than any multiplication rule.

Equity vs pot odds: when to call

Pot odds turn a bet into the equity you need. The formula: equity needed = amount to call ÷ (pot after your call). If your equity is higher, calling makes money in the long run; if it’s lower, it loses.

A quick example shows the comparison. On the turn the pot is $20 and your opponent bets $10.

You call $10 to win a final pot of $40, so you need 25%. You hold a flush draw: nine outs on the turn is 19.6%. On equity alone that’s a fold, unless you expect to win enough extra on the river when the flush comes in, which is what implied odds means.

Every bet size has its own threshold: a half-pot bet needs 25%, a pot-sized bet needs 33%, a 2× pot overbet needs 40%. The full table and worked hands are in our guide to pot odds, so we won’t repeat them here.

Equity realization

Raw equity assumes the hand goes to showdown with no more betting. Actual hands don’t. Your opponent can bet you off your hand before the river, and you can win pots your cards didn’t deserve. Equity realization is the share of your raw equity you actually turn into money once betting continues.

Some hands collect more than their raw equity and some much less:

• Position helps. Acting last, you see what your opponent does before you decide, take free cards when they check and fold cheaply when they bet big. Out of position you face more bets with hands you have to give up. Our guide to poker positions covers why this adds up.
• Playable hands realize more. Suited and connected hands make draws that can call bets and strong hands that win big pots. A hand like 8♠ 7♠ often realizes more than its raw number suggests.
• Weak, hard-to-play hands realize less. Offsuit hands with a bad kicker, like K♦ 4♣, flop marginal pairs that can’t stand pressure and lose the biggest pots when they’re second best.
• Stack depth matters. All in before the flop, every hand realizes exactly its raw equity. The deeper the stacks, the more the betting decides who collects.

This is why a preflop chart folds some hands with 40% raw equity against a raise and calls with others that have less. The chart is pricing in how much of that equity each hand can collect. Solvers report it as a realization percentage, and you’ll see it in their output when you study spots.

Fold equity and total equity

Equity measures what your cards win at showdown. When you bet or raise, there’s a second source of value: the times your opponent folds. That share is fold equity, and it’s why a semi-bluff with a draw can be more profitable than calling with the same draw.

A rough way to put the two together: value of a bet = (how often they fold × the pot) + (how often they call × what your equity wins in the bigger pot, minus what you risked). Our guide on how to calculate fold equity works through this with real bet sizes and shoves.

Is equity the same as EV? No. Equity is your share of the current pot if the hand were run out now. EV (expected value) is the average money a decision wins or loses, counting future bets, folds and the price you pay. A hand can have 30% equity and still make calling +EV if the price is low enough. The details are in our guide to EV in poker.

Multiway pots

Add a third player and everyone’s equity shrinks, but not evenly. Two three-way all-ins before the flop show the effect:

The aces drop from 81% heads-up against kings to 66.5% with queens added; they’re still the favourite but lose a third of the time. In the second line, the small pair that was a coinflip against ace-king heads-up becomes the shortest of the three, because two sets of overcards are trying to pass it.

The practical lesson: big pairs want fewer opponents, while suited and connected hands do better in multiway pots, where the pot pays more when they hit. Bluffs also lose value with each extra player, since everyone has to fold.

Equity in Omaha

In Pot-Limit Omaha each player has four hole cards and must use exactly two. More cards mean more ways to make strong hands, so preflop edges shrink.

In Hold’em, A♠ A♥ has about 85% equity against a random hand. In Omaha, A♠ A♥ K♠ Q♥ (double-suited, with two broadway cards) has about 69% against a random four-card hand, and A♠ A♥ 7♣ 2♦ with no suits or connections only about 61%. Against a good rundown such as J♣ T♦ 9♣ 8♦, the double-suited aces are just 58.5%.

That’s why Omaha players rarely get their whole stack in before the flop with aces and why draws on the flop can be favourites over made hands. A big wrap draw with 20 outs can beat a set. Our PLO strategy guide uses these numbers to pick starting hands and play flops.

Equity calculators

An equity calculator runs every board (or a large random sample of them) and reports wins, ties and equity for hands or ranges you enter. Equilab from PokerStrategy is free for Hold’em and Omaha; PokerStove, one of the first tools of its kind, is still free to download. Solvers go further and play out whole hands, but for equity alone a simple calculator is enough.

Use them to study: replay hands you weren’t sure about, test your range assumptions, and learn the shapes from the table above until you know them cold.

Don’t run an equity calculator while you play online. GGPoker, WPT Global and CoinPoker ban outside poker software during play, and real-time assistance gets accounts closed and balances withheld. Even sites that allow some tools forbid live equity help. Study between sessions, not during them.

Common equity mistakes

Most errors with equity come from using the right number in the wrong way. These are the ones that cost players the most money.

• Comparing against the hand you fear, not the range. Giving an opponent exactly A-A every time they shove turns many calls into folds. Ask what else they’d shove with, as in the queens example above.
• Counting dirty outs. A flush card that also pairs the board, or a straight card that gives your opponent a better straight, isn’t a clean out. The 4♦ example shows two outs vanishing on one card.
• Forgetting the money still to come. Raw equity is for all-ins. With deep stacks behind, an out-of-position draw usually wins less than its percentage, and a hand that is ahead now can be pushed off the pot.
• Treating a favourite as a lock. An 80% favourite still loses one hand in five. Bankroll rules exist because the 20% arrives in clusters.

Equity in poker FAQ