Removing 4 of 32 Six-Pip Card (Rank-6) cards at 10% penetration of a 8-deck (416-card) shoe leaves 28 Rank-6 cards inside a 374-card stub (DEP415), producing 45.8592% Banker wins, 44.6252% Player wins, 9.5156% Ties, and a 1.0589% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP415 (8D Rank-6 at 10% 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.
10% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
4 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8592% Banker win rate under 5% settlement.
Resolved at 44.6252% Player win rate with 0.9323 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP415.
Across 4,998,398,275,503,360 initial 8D permutations, depletion node DEP415 narrows to a 374-card stub (10% depth) holding 28 of 32 Rank-6 cards, where Banker resolves at 45.8592% (-1.0589% EV) and Player at 44.6252% (-1.2340% EV).
Mechanical draw trees in DEP415 reflect how removing 6-pip cards produces (dep415-rank-6) the strongest per-card shift toward (374c) the player side and reduces (dep415-rank-6·374c) barred banker 6 incidence. At 10% 8D depth (28 Rank-6 left of 32 in 374 cards, -1.13 bps slope), winning banker tickets pay (dep415-8d) 0.95 units per unit staked (28/32) while 90% of the initial (dep415-8d·28/32) shoe remains undealt.
| Wager / Metric | State DEP415 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP415 Banker (5% Vig) | 45.8592% (-1.0589% EV) | 45.8597% | DEP415 8D 10% (28 Rank-6) |
| DEP415 Player (1:1) | 44.6252% (-1.2340% EV) | 44.6247% | DEP415 374-card 8D stub (0.9323 SD) |
| DEP415 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP415 Rank-6 (4 out, 28 in) |
Cut-card protocol at 10% depth in DEP415 (8D, 374 stub cards containing 28 Rank-6 cards) ensures the shoe reshuffles long before 5% house hold (1.0589% Banker / 1.2340% Player) is overturned.
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