Removing 14 of 16 Six-Pip Card (Rank-6) cards at 75% penetration of a 4-deck (208-card) shoe leaves 2 Rank-6 cards inside a 52-card stub (DEP241), producing 45.8681% Banker wins, 44.5902% Player wins, 9.5417% Ties, and a 0.5569% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP241 (4D 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.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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.
75% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
14 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.
Resolved at 45.8681% Banker win rate under 4% settlement.
Resolved at 44.5902% Player win rate with 0.9388 unit standard deviation.
Produces a 14.1246% house hold on the 8-to-1 Tie wager in state DEP241.
When a 4D shoe reaches 75% cut-card depth (52 of 208 cards undealt, state DEP241) with 14 Six-Pip Card cards removed and 2 remaining, Player wins 44.5902% (1.2778% edge) while Banker wins 45.8681% (0.5569% edge under 4%).
Under the fixed third-card tableau for DEP241, banker 6 only draws (dep241) when player pulls a third-card (4d-75%) 6 or 7; depleting 6s (dep241·4d-75%) directly alters both banker 6 draws and super 6 settlement frequency. With 2 Rank-6 cards inside 52 remaining 4D cards (75% dealt), single-card slope (-1.13 bps) keeps Banker house edge at 0.5569% and Player at 1.2778%.
| Wager / Metric | State DEP241 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP241 Banker (4% Vig) | 45.8681% (-0.5569% EV) | 45.8732% | DEP241 4D 75% (2 Rank-6) |
| DEP241 Player (1:1) | 44.5902% (-1.2778% EV) | 44.5850% | DEP241 52-card 4D stub (0.9388 SD) |
| DEP241 Tie (8:1) | 9.5417% (-14.1246% EV) | 9.5418% | DEP241 Rank-6 (14 out, 2 in) |
Cut-card protocol at 75% depth in DEP241 (4D, 52 stub cards containing 2 Rank-6 cards) ensures the shoe reshuffles long before 4% house hold (0.5569% Banker / 1.2778% Player) is overturned.
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