Part III: Business & Regulation · Gambling Mathematics & Probability

36. Pot Odds

Poker Math

Pot odds are the ratio of the current size of the pot to the cost of a contemplated call, used to determine whether calling with a drawing hand is mathematically profitable. For example, if the pot contains $100 and an opponent bets $20, a player must call $20 to win $120, giving pot odds of 120:20 or 6:1. To make a profitable call, the player’s probability of completing their draw must be greater than the break-even percentage derived from the pot odds (in this case, 1/7 or 14.3%). Pot odds are the single most important mathematical concept in poker and form the basis for most post-flop decision-making. Surveillance personnel dealing with poker room operations should understand pot odds to recognize legitimate strategic play.

In practice

Formula for break-even percentage: Call Amount / (Pot + Call Amount + Opponent’s Bet). To convert pot odds to percentage: 1 / (pot_odds_ratio + 1). Many experienced players can estimate pot odds intuitively at the table.

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.