Part III: Business & Regulation · Gambling Mathematics & Probability

45. Range Analysis

Poker Math

Range analysis is the process of estimating the complete set of possible hands an opponent could hold based on their actions throughout a hand, expressed as a percentage of all possible starting hands. Modern poker thinking is fundamentally range-based — decisions are evaluated not against a single guessed hand but against an opponent’s entire probable range. As betting progresses through each street (preflop, flop, turn, river), ranges narrow based on actions and community cards. Surveillance and poker room management should understand that skilled players constantly think in terms of ranges rather than specific hands, which is a hallmark of competent play rather than collusion or angle-shooting.

In practice

A “tight” range contains primarily strong hands; a “wide” or “loose” range includes weaker hands. “Polarized” ranges consist of very strong hands and bluffs with few medium-strength hands. “Condensed” or “capped” ranges contain mostly medium-strength hands with few strong hands or bluffs. Understanding these range types is fundamental to modern poker strategy.

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.