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What Is Fold Equity in Poker?

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Fold equity is the value a bet or shove gains from making an opponent fold. In an expected-value calculation, the fold branch is the probability of a fold multiplied by the pot you win immediately.

How do you calculate fold equity?

A shove has two branches: your opponent folds, or your opponent calls. Shove EV combines the value of both branches, including the pot you win when they fold and the amount you win or lose when called.

Shove EV has two branches

Opponent folds

P(fold)×pot won

+

Opponent calls

P(call)×expected net result when called

A worked shove EV example

For one opponent with no further betting, let P be the pot before the shove, B the additional amount you risk, C the additional amount your opponent calls, F their fold probability, and E your showdown equity including ties. Already posted chips belong in P.

EV = F × P + (1 − F) × [E × (P + C) − (1 − E) × B]

With P = 3bb, B = 10bb, C = 9bb, E = 40% and F = 50%, the called branch is 0.4 × 12 − 0.6 × 10 = −1.2bb. Total shove EV is 0.5 × 3 + 0.5 × (−1.2) = +0.9bb. If always called, EV is −1.2bb. With zero showdown equity, the same shove needs 10 / 13, or about 76.9%, folds to break even. The calculator takes percentages; the equation uses probabilities from 0 to 1. This is chip-EV, not an ICM or side-pot model.

Why is fold equity important?

Fold equity is one part of a shove's EV. The other is the result when called, which depends on your hand's equity against the calling range and the amount at risk.

A tighter calling range often reduces your showdown equity when called. The effect depends on which hands stop calling, so more folds do not always mean less showdown equity. Compare the net value of both branches for the hand you hold.

For example, with aces preflop, most of that hand's value comes from the times we are called - the goal there is not fold equity. A hand at the bottom of our opening range, say J8o on the button, gains a much larger portion of its value from fold equity.

AA preflop

Value comes from

Equity when called

In many chip-EV preflop spots, aces benefit from getting called. Payout pressure and the exact stacks still matter.

J8o on the button

Value comes from

Fold equity

Called, it is usually behind. Most of what it earns, it earns uncalled.

Why does fold equity matter more when you're short?

When you're short stacked, the value of fold equity increases significantly. With a 10bb stack, winning 2.5bb - a big blind, a half small blind, and a 1bb ante - is a 25% increase in your stack. That is massive. It is why understanding your push/fold ranges and making sure we don't miss any opportunities is crucial.

It also runs out. The shorter you get, the more often you're called, which is why waiting for a big hand is so costly - see when to shove in a tournament for every seat from 4bb to 15bb.

+25%

What a 10bb stack gains by taking down 2.5bb of blinds and antes uncalled - a quarter of your stack, without seeing a card.

This also means your opponents' player tendencies become crucial to having a profitable strategy. If your opponents start folding more than they should, a lot more hands become very valuable - which is exactly what the exploit solves measure, and what exploiting tight and loose opponents works through hand by hand.

Every solved shove range on this site is fold equity and equity-when-called already priced against each other, for every position and stack depth.

Want to check a specific shove? Use the fold equity calculator to solve the minimum fold percentage from the pot, risk, call amount, and your equity when called.

Common questions

What is fold equity in poker?
Fold equity is the value a bet gains from making an opponent fold. The fold branch of shove EV is the fold probability multiplied by the pot won immediately.
How do you calculate fold equity?
For a heads-up all-in with no further betting, EV = F × P + (1 − F) × [E × (P + C) − (1 − E) × B]. F is the fold probability, E is showdown equity including ties, P is the pot before the shove, B is the additional amount Hero risks, and C is the additional amount Villain calls. Use probabilities from 0 to 1 and consistent chip units; already posted chips belong in P. This is chip-EV, not ICM.
Why does fold equity matter?
A shove can gain chips from folds even when its expected net result when called is negative. Total shove EV weights those two outcomes by their probabilities; it does not add a chip amount to a hand-equity percentage.
Do you always want to maximise fold equity?
No. The value of a fold depends on the pot and on what your hand earns when called. A tighter calling range often reduces your showdown equity, but this is not a universal rule. Compare the net EV of both outcomes rather than maximizing folds alone.
Why does fold equity matter more when you're short stacked?
Because the blinds and antes are large relative to what you have left. Shoving a 10bb stack and taking down 2.5bb uncalled - a big blind, a half small blind, and a big blind ante - grows your stack by 25% without seeing a card. That is why not missing push/fold spots matters so much once you get short.

Sources and assumptions

  • Fold equity (Wikipedia) - The standard definition of fold equity.
  • Pot odds (Wikipedia) - How the price of a call sets the equity it needs.
  • Chen & Ankenman, The Mathematics of Poker (ConJelCo, 2006) - Includes the classic jam-or-fold analysis of short-stack play.

The solved numbers on this page

  • Chip-EV shove/fold solves, 6-max unless a figure says 9-max.
  • 0.125bb ante per player (not a big-blind ante). Stacks are counted before blinds and antes are posted.
  • Percentages are shares of all 1,326 starting combos, rounded to the nearest whole number.
  • Only shove and fold are modelled. Limps, min-raises and postflop play are not.

How these ranges are solved

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