Removing 7 of 16 Eight-Pip Card (Rank-8) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-8 cards inside a 125-card stub (DEP255), producing 45.8723% Banker wins, 44.5860% Player wins, 9.5418% Ties, and a 0.5486% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP255 (4D Rank-8 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.
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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.
Resolved at 45.8723% Banker win rate under 4% settlement.
Resolved at 44.5860% Player win rate with 0.9359 unit standard deviation.
Produces a 14.1241% house hold on the 8-to-1 Tie wager in state DEP255.
When a 4D shoe reaches 40% cut-card depth (125 of 208 cards undealt, state DEP255) with 7 Eight-Pip Card cards removed and 9 remaining, Player wins 44.5860% (1.2863% edge) while Banker wins 45.8723% (0.5486% edge under 4%).
Tracking DEP255 across 125 remaining 4D cards (40% depth) shows that depleting 8-pip cards also (dep255-rank-8) lowers two-card natural 8 lockouts (125c) when paired with zero-point tens (dep255-rank-8·125c) and court cards. With 7 Rank-8 cards gone (-0.50 bps unit sensitivity), Banker expectation is -0.5486% (4% Vig) vs -1.2863% on Player.
| Wager / Metric | State DEP255 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP255 Banker (4% Vig) | 45.8723% (-0.5486% EV) | 45.8732% | DEP255 4D 40% (9 Rank-8) |
| DEP255 Player (1:1) | 44.5860% (-1.2863% EV) | 44.5850% | DEP255 125-card 4D stub (0.9359 SD) |
| DEP255 Tie (8:1) | 9.5418% (-14.1241% EV) | 9.5418% | DEP255 Rank-8 (7 out, 9 in) |
Comparing DEP255 (40% 4D depth, 7 Rank-8 removed, 9 remaining in 125 cards) against fresh-shoe baselines shows how finite-stub variance (0.9359 SD) coexists with a 0.5486% 4% Banker house edge.
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