Part III: Business & Regulation · Gambling Mathematics & Probability

22. Composition-Dependent Strategy

Blackjack Math

Composition-dependent strategy is an advanced blackjack approach that makes playing decisions based not only on the player’s total hand value but also on the specific cards that comprise the hand. While basic strategy treats all hands with the same total identically (e.g., all 16s are played the same way), composition-dependent strategy recognizes that a 16 consisting of 10-6 has different probabilities than a 16 consisting of 7-5-4. This approach yields a slightly lower house edge than basic strategy (typically reducing it by an additional 0.01-0.03%), but requires significantly more complex memorization. In practice, the difference between basic and composition-dependent strategy is minimal, but surveillance should be aware that players discussing specific card combinations may be applying this advanced technique.

In practice

The most well-known composition-dependent decision is whether to hit or stand on 16 against a dealer 10 with a multi-card 16. The effect of card removal on subsequent draws is slightly different depending on which specific cards comprise the 16.

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.