Removing 28 of 32 Four-Pip Card (Rank-4) cards at 75% penetration of a 8-deck (416-card) shoe leaves 4 Rank-4 cards inside a 104-card stub (DEP403), producing 45.8651% Banker wins, 44.6192% Player wins, 9.5157% Ties, and a 0.5887% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP403 (8D Rank-4 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
75% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
28 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8651% Banker win rate under 4% settlement.
Resolved at 44.6192% Player win rate with 0.9382 unit standard deviation.
Produces a 14.3588% house hold on the 8-to-1 Tie wager in state DEP403.
Removing 28 of 32 Rank-4 cards by the 75% mark of a 8-deck shoe (DEP403, 104 cards left) leaves 4 Four-Pip Card cards and adjusts conditional probabilities to 45.8651% Banker, 44.6192% Player, and 9.5157% Tie under 4%.
For DEP403 (8-deck shoe, 75% dealt), rank 4 sits at (dep403) the exact pivot where banker (8d-75%) 5 begins drawing (player third (dep403·8d-75%) card 4–7) while banker 3 and 4 also draw. Holding 4 of 32 Rank-4 cards in a 104-card stub with +1.19 bps rank slope yields 45.8651% Banker, 44.6192% Player, and 9.5157% Tie.
| Wager / Metric | State DEP403 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP403 Banker (4% Vig) | 45.8651% (-0.5887% EV) | 45.8597% | DEP403 8D 75% (4 Rank-4) |
| DEP403 Player (1:1) | 44.6192% (-1.2459% EV) | 44.6247% | DEP403 104-card 8D stub (0.9382 SD) |
| DEP403 Tie (8:1) | 9.5157% (-14.3588% EV) | 9.5156% | DEP403 Rank-4 (28 out, 4 in) |
In DEP403, the 104-card 8D stub (75% penetration, 28 of 32 Rank-4 dealt) yields 45.8651% Banker, 44.6192% Player, and 9.5157% Tie outcomes with 0.9382 dispersion under 4% Vig.
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