Removing 22 of 32 Four-Pip Card (Rank-4) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-4 cards inside a 166-card stub (DEP401), producing 45.8636% Banker wins, 44.6207% Player wins, 9.5157% Ties, and a 1.0105% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP401 (8D Rank-4 at 60% 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.
60% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
22 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8636% Banker win rate under EZ Baccarat settlement.
Resolved at 44.6207% Player win rate with 0.9367 unit standard deviation.
Produces a 14.3590% house hold on the 8-to-1 Tie wager in state DEP401.
Across 4,998,398,275,503,360 initial 8D permutations, depletion node DEP401 narrows to a 166-card stub (60% depth) holding 10 of 32 Rank-4 cards, where Banker resolves at 45.8636% (-1.0105% EV) and Player at 44.6207% (-1.2429% EV).
Why does Rank-4 carry a +1.19 bps per-card effect in DEP401? Rank 4 sits at (DEP401) the exact pivot where Banker (8D-60%) 5 begins drawing (Player third (DEP401·8D-60%) card 4–7) while Banker 3 and 4 also draw, and at 60% penetration (10 Four-Pip Card cards left in 166 8D cards), banker wins pay 1:1 (dep401-8d) with zero commission except when (10/32) banker wins with a three-card (dep401-8d·10/32) total of 7, which pushes.
| Wager / Metric | State DEP401 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP401 Banker (EZ Bar-7) | 45.8636% (-1.0105% EV) | 45.8597% | DEP401 8D 60% (10 Rank-4) |
| DEP401 Player (1:1) | 44.6207% (-1.2429% EV) | 44.6247% | DEP401 166-card 8D stub (0.9367 SD) |
| DEP401 Tie (8:1) | 9.5157% (-14.3590% EV) | 9.5156% | DEP401 Rank-4 (22 out, 10 in) |
Scoreboard literacy in DEP401 separates two independent concepts: 8D card-removal math (10 Rank-4 left in 166 cards at 60% depth, 0.9367 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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