Fold Equity Calculator: Formula, Semi-Bluff EV, and Break-Even Fold Rate

Bet size

Larger bets fold out more hands. A pot-sized shove pressures medium holdings that a quarter-pot bet would not. Bigger sizing buys more fold equity but raises the EV at risk when called.

Board texture

Coordinated, scary boards (flush- and straight-completing cards) fold out more of the opponent's medium-strength range. Dry, blank boards fold out fewer hands because the opponent fears less.

Opponent type

Tight, thinking players fold often and respect aggression. Calling stations fold almost never — assign them a near-zero fold rate and lean on hand equity instead.

Your table image

A tight, straightforward image earns more folds. If you have been caught bluffing, discount your fold estimate because the opponent will call wider.

Street

Fold equity is highest preflop and on the flop, lower on the turn, and zero on the river — by the river all draws have resolved and the calling range is made hands only.

What is fold equity?

Fold equity is the value you gain from the chance your opponent folds when you bet or raise. It equals the probability your opponent folds multiplied by the current pot: Fold Equity = P(fold) × Pot. If the pot is $100 and your opponent folds 40% of the time, your fold equity is 0.40 × $100 = $40. That $40 is expected value earned before any card is dealt and regardless of your hand strength — even a hand with no showdown value carries fold equity as long as the opponent is capable of folding. Fold equity is the reason a bet with a weak hand can still be profitable, and combined with hand equity from a draw it is the mathematical foundation of the semi-bluff.

How do I calculate fold equity?

Use the formula Fold Equity = P(fold) × Pot. Step one: identify the current pot before your bet (e.g., $100). Step two: estimate the probability your opponent folds to your bet or raise (e.g., 40%, or 0.40). Step three: multiply them: 0.40 × $100 = $40. That $40 is the standalone fold-equity portion of your bet's expected value. To evaluate a full semi-bluff, you add this to the value of the call branch: EV = P(fold) × pot + P(call) × [equity × (pot + bet) − (1 − equity) × bet]. The fold-equity term is the first half; the second half captures what happens when you get called and play out your draw.

What is semi-bluff EV?

Semi-bluff EV is the total expected value of betting or shoving a drawing hand, combining two profit sources: fold equity (the opponent folds) and hand equity (the opponent calls and you sometimes win the showdown). The formula is EV = P(fold) × pot + P(call) × [equity × (pot + bet) − (1 − equity) × bet]. The first term is fold equity. The second term is the call branch: at your equity rate you win the final pot (pot + bet), and at the miss rate you lose your bet. A semi-bluff is +EV whenever this sum is positive. Because the draw can win even when called, a semi-bluff needs far fewer folds to break even than a pure bluff with the same sizing.

What is the break-even fold rate for a semi-bluff?

The break-even fold rate is the minimum fold frequency that makes a bet or shove break even (EV = 0). It depends on both your bet size and your equity when called. For a pure bluff (0% equity), break-even fold% = bet ÷ (pot + bet). For a semi-bluff, your hand equity offsets part of the call-branch loss, which lowers the required fold rate. In the worked scenario on this page — pot $100, all-in push $75 — a pure bluff needs a 42.9% fold rate, a 15% gutshot needs only 27.3%, and a 30% flush draw needs 0% (it is +EV at any fold rate above zero). At 40%+ equity the shove is +EV even if the opponent never folds.

How do I estimate my opponent's folding frequency?

Start from the break-even fold rate as a reference point, then adjust by read. Estimate folding frequency from: bet size (larger bets fold out more hands), board texture (scary, coordinated boards fold out more medium hands), opponent type (tight, thinking players fold more; calling stations fold almost never), your table image (a tight image earns more respect and folds), and the street (fold equity is highest preflop and on the flop, and zero on the river because all draws have resolved). In practice you assign a rough percentage — say 35%, 50%, or 65% — and check it against the break-even rate. If your honest fold estimate clears the break-even threshold, the bet is +EV.

Why is fold equity zero on the river?

On the river there are no more cards to come, so every draw has either completed or missed. Your opponent's calling range is made hands only — they will not fold a hand that beats yours and will not call with a busted draw that cannot win. There is no uncertainty about future cards for the opponent to fear, so a river bet does not generate the same fold pressure that a flop or turn bet does against a draw-heavy range. Any river bet is therefore a pure bluff or a value bet; its profitability rests entirely on whether the opponent's made hands can be folded, not on protecting against improvement.

Is a semi-bluff better than a pure bluff?

Usually, yes, at the same bet size. A semi-bluff has two ways to win — the opponent folds, or the opponent calls and your draw gets there — while a pure bluff has only one. That second profit source lowers the fold rate you need to break even. In the pot-$100, push-$75 scenario, a pure bluff needs a 42.9% fold rate, while a 15% gutshot needs only 27.3% and a 30% flush draw needs essentially none. The practical takeaway: prefer to put your chips in with hands that have outs when called. Pure bluffs still have a place in a balanced range, but they require the highest fold equity to justify and lose every time they get called.