- Home /
- Combinatorial Math Hub /
- Baccarat Card-Removal Sensitivity & Rank Depletion Math
COMBINATORIAL SENSITIVITY · RANK DEPLETION
Shoe Card-Removal Sensitivity: How Depleting Ranks 0–9 Shifts the Edge
Without-replacement removal of individual rank classes (0, A, 2, 3, 4, 5, 6, 7, 8, 9) across an 8-deck 416-card shoe. Because Banker's third-card rules on 3, 4, 5, and 6 condition on Player's third card, removing low pips (4, 5, 6) vs high pips (7, 8) pulls the edge in opposite directions. Removing a single 4 from 416 cards shifts Banker edge by ~0.0055% toward Banker, whereas removing a 6 shifts Player edge by ~0.0045% toward Player. Even extreme late-shoe imbalances rarely move main-bet EV beyond ±0.15%, which is roughly 8× smaller than the built-in 1.0579% / 1.2351% house margin.
- REMOVA Banker Edge
- 1.0579%
- REMOVA Player Edge
- 1.2351%
- REMOVA Tie Edge
- 14.3596%
- 8D Banker Win %
- 45.86%