Part III: Business & Regulation · Gambling Mathematics & Probability

Basic Strategy

Blackjack MathREPORTED

(1) Basic strategy is the mathematically optimal set of playing decisions (hit, stand, double down, split, or surrender) for every possible player hand and dealer upcard combination in blackjack, derived from exhaustive computer simulation of millions of hands. When followed precisely, basic strategy reduces the house edge to approximately 0.5% in a standard six-deck game (compared to roughly 2% for the average player who deviates from optimal play). Basic strategy accounts for factors including the number of decks, whether the dealer hits or stands on soft 17, and whether doubling after splitting is permitted. Surveillance personnel should recognize that players using basic strategy charts are typically knowledgeable recreational players rather than advantage players, though all card counters must also know basic strategy perfectly. (2) The mathematically optimal way to play every possible blackjack hand based on the player’s cards and the dealer’s upcard. Developed through computer simulation, basic strategy minimizes the house edge to approximately 0.5% or less depending on rules. It dictates when to hit, stand, double down, split, or surrender for every hand combination.

In practice

Basic strategy varies slightly based on game rules (H17 vs. S17, number of decks, surrender availability). Standard six-deck basic strategy was first computed by Julian Braun and popularized by Edward Thorp in “Beat the Dealer.” Basic strategy cards are permitted at most casino tables. Surveillance should note players who deviate significantly from basic strategy combined with large bet spreads, as this is a strong indicator of card counting or hole carding.

One entry from the Casino Industry Glossary, 1,090 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.