Removing 14 of 24 Four-Pip Card (Rank-4) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-4 cards inside a 156-card stub (DEP310), producing 45.8679% Banker wins, 44.5871% Player wins, 9.5450% Ties, and a 1.4122% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP310 (6D Rank-4 at 50% depth).
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.
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.
50% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
14 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.
Resolved at 45.8679% Banker win rate under Super 6 settlement.
Resolved at 44.5871% Player win rate with 0.9357 unit standard deviation.
Produces a 14.0954% house hold on the 8-to-1 Tie wager in state DEP310.
In combinatorial record DEP310, depleting 14 Rank-4 cards across 50% of a 6D (312-card) pack leaves 10 Four-Pip Card cards among 156 remaining cards, setting Banker win probability to 45.8679% and house edge to 1.4122% (Super 6).
Under the fixed third-card tableau for DEP310, rank 4 sits at (dep310) the exact pivot where banker (6d-50%) 5 begins drawing (player third (dep310·6d-50%) card 4–7) while banker 3 and 4 also draw. With 10 Rank-4 cards inside 156 remaining 6D cards (50% dealt), single-card slope (+1.19 bps) keeps Banker house edge at 1.4122% and Player at 1.2808%.
| Wager / Metric | State DEP310 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP310 Banker (Super 6) | 45.8679% (-1.4122% EV) | 45.8648% | DEP310 6D 50% (10 Rank-4) |
| DEP310 Player (1:1) | 44.5871% (-1.2808% EV) | 44.5903% | DEP310 156-card 6D stub (0.9357 SD) |
| DEP310 Tie (8:1) | 9.5450% (-14.0954% EV) | 9.5449% | DEP310 Rank-4 (14 out, 10 in) |
Across 100-hand session horizons at state DEP310 (6D 50% depth, 10/24 Rank-4 in 156 cards), single-hand dispersion (0.9357 SD) dominates the 1.4122% (Super 6) Banker and 1.2808% Player expectation gap.
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