Removing 15 of 32 Four-Pip Card (Rank-4) cards at 40% penetration of a 8-deck (416-card) shoe leaves 17 Rank-4 cards inside a 250-card stub (DEP399), producing 45.8621% Banker wins, 44.6223% Player wins, 9.5156% Ties, and a 0.5947% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP399 (8D Rank-4 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
15 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8621% Banker win rate under 4% settlement.
Resolved at 44.6223% Player win rate with 0.9347 unit standard deviation.
Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP399.
Card-removal benchmark DEP399 measures Four-Pip Card (Rank-4) scarcity at 40% depth in a 8-deck shoe: 15 removed ranks leave 17 in the 250-card remainder, shifting Banker win share to 45.8621% (0.5947% edge, 4% Vig).
Under the fixed third-card tableau for DEP399, rank 4 sits at (dep399) the exact pivot where banker (8d-40%) 5 begins drawing (player third (dep399·8d-40%) card 4–7) while banker 3 and 4 also draw. With 17 Rank-4 cards inside 250 remaining 8D cards (40% dealt), single-card slope (+1.19 bps) keeps Banker house edge at 0.5947% and Player at 1.2398%.
| Wager / Metric | State DEP399 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP399 Banker (4% Vig) | 45.8621% (-0.5947% EV) | 45.8597% | DEP399 8D 40% (17 Rank-4) |
| DEP399 Player (1:1) | 44.6223% (-1.2398% EV) | 44.6247% | DEP399 250-card 8D stub (0.9347 SD) |
| DEP399 Tie (8:1) | 9.5156% (-14.3592% EV) | 9.5156% | DEP399 Rank-4 (15 out, 17 in) |
Comparing DEP399 (40% 8D depth, 15 Rank-4 removed, 17 remaining in 250 cards) against fresh-shoe baselines shows how finite-stub variance (0.9347 SD) coexists with a 0.5947% 4% Banker house edge.
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