Part III: Business & Regulation · Gambling Mathematics & Probability

40. Fold Equity

Poker Math

Fold equity is the additional expected value gained from the possibility that an opponent will fold to a bet or raise. It is a critical component of semi-bluffing — when a player bets with a drawing hand that may not be the best hand currently but has a chance to improve if called. Fold equity is calculated as: FE = (Probability opponent folds) x (Size of pot won). The total expected value of a semi-bluff combines both fold equity (when the opponent folds) and showdown equity (when the opponent calls and the draw completes). Understanding fold equity is essential for aggressive poker play; without it, many bluffs and semi-bluffs would be mathematically unprofitable.

In practice

A pure bluff (zero showdown equity) requires fold equity alone to be profitable. The minimum fold frequency needed for a bluff to break even = Bet Size / (Pot + Bet Size). If opponents fold more than this percentage, the bluff is +EV.

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