Part III: Business & Regulation · Gambling Mathematics & Probability

39. Equity

Poker Math

Equity is a player’s mathematical share of the pot expressed as a percentage, representing the probability that their hand will win at showdown against their opponent’s range of hands. For example, if a player with a flush draw has a 36% chance of winning against an opponent’s made pair, their equity is 36%. Equity is used to determine whether a call, bet, or raise is profitable by comparing it to pot odds. Unlike pot odds (which are based on known information), equity requires estimating an opponent’s hand range and calculating win probability against that range — a process that becomes increasingly complex with more players and streets. Modern poker software uses Monte Carlo simulation to estimate equity in complex situations.

In practice

Equity changes on each street as community cards are revealed. “Equity realization” refers to the percentage of theoretical equity that is actually captured in practice, which depends on factors like position, skill advantage, and stack depth. Formula: EV = (Equity x Total Pot) - Investment.

One entry from the Casino Industry Glossary — 1,157 terms written for surveillance, compliance and operations professionals rather than for players. Definitions describe industry usage; where a term carries a regulatory meaning, verify against the instrument that governs your jurisdiction.