Removing 11 of 24 Ace (1-Point Pip) (Ace-1) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Ace-1 cards inside a 187-card stub (DEP282), producing 45.8657% Banker wins, 44.5894% Player wins, 9.5449% Ties, and a 0.5584% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP282 (6D Ace-1 at 40% depth).
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
40% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
11 Ace cards valued at 1 modulo-10 point removed from the 6D pack.
Resolved at 45.8657% Banker win rate under 4% settlement.
Resolved at 44.5894% Player win rate with 0.9338 unit standard deviation.
Produces a 14.0957% house hold on the 8-to-1 Tie wager in state DEP282.
In combinatorial record DEP282, depleting 11 Ace-1 cards across 40% of a 6D (312-card) pack leaves 13 Ace (1-Point Pip) cards among 187 remaining cards, setting Banker win probability to 45.8657% and house edge to 0.5584% (4% Vig).
Tableau audit DEP282 confirms that removing aces slightly favors (dep282) banker because banker stands on (6d-40%) 6 against player third-card ace (dep282·6d-40%) while player must draw on 0–5. Inside the 187-card 6D stub (40% depth, 13/24 Ace-1 remaining, +0.44 bps slope), standard deviation is 0.9338 under 4% Vig.
| Wager / Metric | State DEP282 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP282 Banker (4% Vig) | 45.8657% (-0.5584% EV) | 45.8648% | DEP282 6D 40% (13 Ace-1) |
| DEP282 Player (1:1) | 44.5894% (-1.2762% EV) | 44.5903% | DEP282 187-card 6D stub (0.9338 SD) |
| DEP282 Tie (8:1) | 9.5449% (-14.0957% EV) | 9.5449% | DEP282 Ace-1 (11 out, 13 in) |
In studio and floor audits of DEP282 (187 cards undealt out of 312 in 6D at 40% depth), a 0.9338 unit standard deviation accompanies the 13-card Ace-1 stub under 4% Vig (45.8657% Banker vs 44.5894% Player).
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