- Home /
- Combinatorial Math Hub /
- Baccarat Cut-Card Penetration & Late-Shoe Variance Math
SHOE MECHANICS · CUT-CARD PENETRATION
Cut-Card Penetration Proof: 14-Card Macau Stub vs 1-Deck Cut Variance
Plastic cut card inserted 14 cards (Macau/Asian standard) or 52 cards (1 deck) from the back of the 416-card shoe. When the cut card emerges during a deal, that hand finishes normally and one final hand is dealt before the shoe is cleared and reshuffled. By the law of total expectation, the unconditional expectation of hand k in a randomly shuffled 416-card shoe equals the hand-1 expectation (1.0579% Banker edge). Deeper penetration (402/416 cards dealt = 96.6% vs 364/416 = 87.5%) widens conditional composition variance on the final 5 hands without shifting pre-shuffle EV.
- CUTPEN Banker Edge
- 1.0579%
- CUTPEN Player Edge
- 1.2351%
- CUTPEN Tie Edge
- 14.3596%
- 8D Banker Win %
- 45.86%