Fold Equity
Also known as: fold equity, FE
The EV your bet or raise gains from the chance the opponent folds — the engine behind semi-bluffs and shoves.
Fold equity is the extra EV you capture when your aggression makes a better hand (or a hand with live equity) fold. It's what lets a draw shove profitably even when it's behind at showdown. A semi-bluff's EV splits into two branches:
\[ \text{EV} = f\cdot \text{pot} + (1-f)\,\big(E\cdot \text{(pot+calls)} - \text{risk}\big) \]
where \(f\) is fold frequency and \(E\) your equity when called. The first term is pure fold equity; the second is the showdown branch. Fold equity rises with credible representation (range advantage, scare cards, larger sizing) and against opponents who can fold; it collapses to zero versus a calling station or a pot-committed short stack.
In tournaments fold equity is magnified by ICM: an opponent facing a pay-jump or bubble folds more, so your risk premium cuts both ways — they need more to call, you need them to fold more. The breakeven percentage for a pure bluff tells you exactly how much fold equity a bet must generate.
Example
You shove 12 bb with a flush draw + overcard (~30% when called) into a 6 bb pot. If villain folds 50%: fold branch \(0.50\times 6 = 3\) bb. Called branch \(0.50\times(0.30\times 30 - 12)\approx 0.50\times(-3)=-1.5\) bb. Net \(\approx +1.5\) bb — the shove profits almost entirely on fold equity; with zero folds it would be losing.