Fold Equity
弃牌权益
Context: Poker term: 弃牌权益（Fold Equity） Fold equity refers to the portion of the pot a player wins by forcing an opponent to fold through a bet or raise, and it is a core component of expected value in aggressive play. In practice, it enables players to profit even when their hand is weak, especially when the opponent's fold probability is high, significantly boosting overall profitability. For example, when holding a draw on the flop, if the pot has 100 chips and you bet 80 chips, with the opponent folding 40% of the time, your fold equity is 40 chips (100 × 40%). Combined with your own hand's win rate, the total expected value may be positive, thus supporting an aggressive bet.
Concept
Fold Equity refers to the portion of the pot a player gains by betting or raising, forcing opponents to fold. It is a key component of expected value (EV) in aggressive plays such as bluffs and semi-bluffs.
Calculation
Fold equity is often used in conjunction with a hand's showdown equity. The total EV formula is:
- Total EV = (Probability opponent folds × Pot size) + (Probability opponent calls × Showdown equity × New pot size) – Bet cost
Where "Probability opponent folds × Pot size" represents the contribution of fold equity.
Influencing Factors
- Opponent Range: The larger the folding portion of an opponent's range, the higher the fold equity. For example, fold equity is typically higher against tight-passive players.
- Board Texture: The more dangerous the board (e.g., potential straight or flush draws), the more likely opponents fold, increasing fold equity.
- Bet Sizing: Larger bets increase the probability of opponents folding, but also increase risk.
- Player Image: An aggressive image makes opponents more likely to believe a bet, resulting in higher fold equity.
Application Scenarios
- Bluff: When a hand's showdown equity is very low, profit relies mainly on fold equity.
- Semi-Bluff: The hand has some showdown equity (e.g., a draw), with fold equity as additional profit.
- Value Bet: Even when hoping an opponent calls, fold equity still exists but is not the primary goal.
Example
Assume the pot is 100 and a player bets 50. If the probability of the opponent folding is 40%, then fold equity is 40% × 100 = 40. If the opponent calls and the player's showdown equity is 30%, then the expected value when called is 30% × 200 = 60, minus the bet cost. Total EV = 40 + 60 – 50 = 50.
Notes
Fold equity does not exist independently; it requires an accurate estimate of an opponent's folding probability. Over-reliance on fold equity can lead to frequent bluffs being caught.