Removing 21 of 24 Six-Pip Card (Rank-6) cards at 75% penetration of a 6-deck (312-card) shoe leaves 3 Rank-6 cards inside a 78-card stub (DEP331), producing 45.8597% Banker wins, 44.5955% Player wins, 9.5448% Ties, and a 0.5703% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP331 (6D Rank-6 at 75% 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 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
75% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
21 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.
Resolved at 45.8597% Banker win rate under 4% settlement.
Resolved at 44.5955% Player win rate with 0.9388 unit standard deviation.
Produces a 14.0967% house hold on the 8-to-1 Tie wager in state DEP331.
Across 89,520,558,110,592,000 initial 6D permutations, depletion node DEP331 narrows to a 78-card stub (75% depth) holding 3 of 24 Rank-6 cards, where Banker resolves at 45.8597% (-0.5703% EV) and Player at 44.5955% (-1.2641% EV).
Comparing initial 312-card 6D weights against stub DEP331 (78 cards, 75% depth, 3 Rank-6 left) illustrates how banker 6 only draws (dep331) when player pulls a third-card (6d-75%) 6 or 7; depleting 6s (dep331·6d-75%) directly alters both banker 6 draws and super 6 settlement frequency (-1.13 bps slope, 0.5703% 4% Vig edge).
| Wager / Metric | State DEP331 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP331 Banker (4% Vig) | 45.8597% (-0.5703% EV) | 45.8648% | DEP331 6D 75% (3 Rank-6) |
| DEP331 Player (1:1) | 44.5955% (-1.2641% EV) | 44.5903% | DEP331 78-card 6D stub (0.9388 SD) |
| DEP331 Tie (8:1) | 9.5448% (-14.0967% EV) | 9.5449% | DEP331 Rank-6 (21 out, 3 in) |
Cut-card protocol at 75% depth in DEP331 (6D, 78 stub cards containing 3 Rank-6 cards) ensures the shoe reshuffles long before 4% house hold (0.5703% Banker / 1.2641% Player) is overturned.
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