Fold equity in poker: how to calculate it and when it disappears

Fold equity is the part of a bet’s value that comes from your opponent folding. Every bet can win in two ways: he folds and you take the pot right away, or he calls and you win at showdown. Fold equity measures the first part. With a strong draw the two add up, which is why a semi-bluff can make money where a call loses.

The idea is simple; the arithmetic is where players go wrong. Below you’ll find the formula, a table of how many folds each bet size needs, three all-ins worked through to the dollar, and the factors that create or destroy fold equity at the table.

What fold equity is

When you bet, the money you expect to win splits into two parts:

• Winning by folds. He folds, and you collect the pot as it stands. That’s your fold equity.
• Winning when called. He calls, the cards run out, and you win with your equity, your share of the pot based on how often your hand wins.

In money, fold equity is easy to write down:

Fold equity = probability he folds × size of the pot before your bet

If the pot holds $100 and he folds 40% of the time, your fold equity is $40 per bet on average. That number alone doesn’t tell you whether to bet. You also need to know what happens the other 60% of the time, when he calls. Our guide to EV in poker shows the full expected-value formula; here we focus on the fold part and how it combines with your hand.

How to calculate fold equity

A practical calculation takes three steps:

1. Estimate how often he folds. This is the hard part, and it comes from his range: what hands he holds and which of them can’t call. More on this below.
2. Work out how often he needs to fold. This break-even point depends on your bet size, the pot and your equity when called.
3. Compare. If he folds more often than the break-even number, the bet makes money.

The most common mistake happens when players combine the two ways of winning. Say he folds 15% of the time, and when he calls, your hand wins 40% of the time. You don’t win 15% + 40% = 55% of pots. The 40% only applies to the 85% of times he calls:

Share of pots won = 15% + 85% × 40% = 15% + 34% = 49%. Adding the two numbers directly counts the times he folds twice.

The full formula for a bet that ends the betting (an all-in, or a river bet he can only call or fold) is:

EV of the bet = fold % × pot + call % × (equity × final pot − your bet)

Set that equal to zero and solve for the fold percentage, and you have the break-even number for any spot. The table in the next section does that for you.

How much fold equity you need

The table shows how often your opponent must fold for a bet to break even, by bet size and by your equity when called. It assumes the bet ends the action: he can call or fold, but not raise. Read across a row to see how much each bit of equity lowers the number.

“None needed” means the bet already breaks even when called: with 25% equity, a half-pot bet makes money even if he never folds. The first column is the pure bluff, and it matches the classic risk ÷ (risk + pot) rule from our pot odds guide.

The same numbers as a chart, for three levels of equity:

Two things stand out. A draw with 35% equity can bet up to the size of the pot without needing any folds at all. And big overbets need a lot of folds even with decent equity, which is why they’re used mostly with very strong hands or with near-certain folds.

Estimating how often an opponent folds

The fold percentage isn’t a guess from the air. It comes from counting your opponent’s range: the hands he can hold in this spot, and which of them call.

Fold % = 1 − (hands that call ÷ all hands in his range)

Before the flop this counting is exact. A big blind who holds any two cards has 1,225 possible combinations once your two cards are removed. If he calls an all-in with 349 of them, he folds the other 876, or 71.5%. We’ll use exactly this spot in the tournament example below.

After the flop you count the same way, but with the hands that reached this point. A player who called the flop with a wide range and then checks the turn holds many weak pairs and draws that can’t call a big bet. A player who raised the flop holds far fewer of them. Our guide on how to read your opponents covers the betting patterns that narrow a range.

What creates and kills fold equity

The same bet can have huge fold equity against one player and none against another. These are the factors that make the difference.

Stack size and SPR

Fold equity needs a threat. A bet that puts a player’s tournament life or most of his stack at risk is a big threat; a bet that’s small compared with the pot is not. The stack-to-pot ratio (SPR) measures this: with a low SPR, the pot is already large compared with the stacks, and players call because the price is good. The tournament section shows how fast this happens with short stacks.

Bet size

Bigger bets get more folds, but they also need more. The table above shows the trade-off: going from half pot to pot raises the break-even number from 33.3% to 50.0% for a pure bluff. A bigger bet only makes sense if it gets far more folds.

The board and your line

Your bet has to tell a believable story. A turn bet on a card that completes many draws, when you’ve been calling, looks like a made hand. A bet on a dry board that changed nothing looks like what it often is. Our guide to reading the board explains which cards change a hand and which don’t.

Opponent type

Fold equity is a property of the opponent as much as of the bet. Calling stations rarely fold a pair, so your bluffs against them have close to zero fold equity, and you should bet only for value. Tight, careful players fold more often than they should, which makes them the best targets; see our guide to beating tight players.

Your image

If you’ve been caught bluffing twice in the last orbit, your next bet gets called more often. If you’ve shown down only strong hands, your bets earn more respect. Your image changes fold equity in both directions.

Number of players

Fold equity shrinks fast with every extra opponent, because all of them have to fold. If each of two players folds 70% of the time, both fold only 0.70 × 0.70 = 49% of the time. With three such players it drops to 34%. That’s why bluffs into several players are rare.

Tournament stage

Near the money, players with medium stacks fold more, because busting costs them a payout. Short stacks on the bubble become easier to push around, and big stacks gain fold equity they didn’t have earlier.

Fold equity with a draw: the semi-bluff all-in

A semi-bluff is a bet with a hand that’s behind now but can improve. To see how fold equity and draw equity work together, take a turn spot with a flush draw and three options: fold, call or move all-in.

You hold 9♠ 8♠, and your opponent has top pair, K♣ Q♦. Nine spades make your flush, so your equity is 9 out of 44 cards, or 20.5%. Nothing else helps: a nine or an eight gives you a pair that still loses.

• Fold: you lose nothing more. EV = $0.
• Call $40: you’d win a $140 pot, so you need 40 ÷ 140 = 28.6% equity. You have 20.5%, so the call loses about $11 on average.
• All-in for $160: if he folds, you win the $100 in the pot. If he calls, the pot is $380 and you win it 20.5% of the time, which loses $82.27 on average.

The all-in breaks even when he folds 45.1% of the time. As a pure bluff with no outs it would need 61.5%, so the flush draw lowers the requirement by more than 16 points. The all-in at different fold rates:

So the decision comes down to one read. Against a player who bets the turn with a wide range and gives up weak pairs to a big raise, the all-in beats both other options. Against a player who never folds top pair, it’s the worst of the three, and folding is better than either.

Semi-bluff with draws that have real equity and against players who can fold. The draw is your backup plan when he calls; the fold is the main way the play makes money.

When folds cost you money

Fold equity isn’t always positive. When your hand is a big favourite even against a made hand, your opponent’s fold can be the worst result for you.

You hold Q♥ J♥ on T♥ 9♥ 3♣: a flush draw, an open-ended straight draw and two overcards. Your opponent holds A♣ T♦, top pair. With two cards to come, your hand wins 68.9% of the time. The pot is $30, he bets $20, and you go all-in for $100.

• If he folds: you win the $50 in the pot.
• If he calls: the pot is $230, and 68.9% of it is worth $158.44. Minus your $100, you make $58.44 on average.

Every time he folds here, you give up about $8.44 compared with being called. Players call this negative fold equity. In practice it means that with very strong draws, you don’t need to choose the bet size that gets the most folds. You can bet in a way that gets called by hands like top pair.

This is against one specific hand. Against his whole range, which includes bluffs and weaker draws, folds are worth more. But the lesson holds: the stronger your draw, the less you need folds.

Fold equity in tournaments: short-stack shoves

Fold equity is the main reason short stacks in tournaments move all-in rather than raise and fold. To see how the numbers work, take a common spot with 10 big blinds.

The blinds are 0.5 and 1 big blind, with a 1 big blind ante paid by the big blind, so 2.5 big blinds are already in the pot. The small blind folds. Say the big blind calls with 22+, any ace, K9+, QT+ and JT. That’s 349 of his 1,225 possible hands, so he folds 71.5% of the time.

• He folds (71.5%): you win 2.5 big blinds.
• He calls (28.5%): K♠ 9♠ has 42.3% equity against his calling range. The pot is 21.5 big blinds, so you lose 0.91 big blinds on average.

The shove is worth +1.53 big blinds. It breaks even when he folds just 26.7% of the time, so even a player who calls much wider than this still lets you profit. Most of the value comes from folds: 2.5 × 0.715 = 1.79 big blinds, against a small loss when called.

Now the catch. The shorter your stack, the less you can threaten, and the wider your opponent can call. This table shows the equity the big blind needs to call your shove, in the same spot:

With 3 big blinds, the big blind needs only 26.7% to call, and almost every hand has that against a random shove. Your fold equity is close to zero, and you’re playing on card strength alone. With 10 to 25 big blinds he needs 42–47%, so he has to fold his weak hands, and that’s what makes shoving profitable. The lesson: don’t wait until 3 big blinds to use your stack. For more on tournament play, see our guide to multi-table tournaments and our guide to the all-in.

Fold equity mistakes

Most fold-equity errors come from forgetting one side of the equation. These come up most often:

Bluffing calling stations. If a player calls with any pair, your fold equity is close to zero, and every bluff is a donation.

Adding fold % and equity together. 20% folds and 40% equity don’t make 60%; they make 20% + 80% × 40% = 52%.

Waiting too long to shove. A short stack’s fold equity disappears quickly. Moving all-in with 10–15 big blinds gets folds; moving in with 3 gets called.

Raising to get folds when your hand wants calls. With a very strong draw or a made hand, folds can cost money, as the combo-draw example shows.

Semi-bluffing into several players. Each extra opponent multiplies the folds you need, and the chance that someone holds a hand strong enough to call rises with each of them.

Fold equity is the engine behind most profitable aggression: bluffing, the check-raise, the float play and light 3-bets. The other side of the same maths is minimum defense frequency: how often you need to call so that opponents can’t bluff you profitably.

Fold equity FAQ