Removing 14 of 16 Five-Pip Card (Rank-5) cards at 75% penetration of a 4-deck (208-card) shoe leaves 2 Rank-5 cards inside a 52-card stub (DEP232), producing 45.8694% Banker wins, 44.5889% Player wins, 9.5417% Ties, and a 0.5543% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP232 (4D Rank-5 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 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 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 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
14 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.
Resolved at 45.8694% Banker win rate under 4% settlement.
Resolved at 44.5889% Player win rate with 0.9385 unit standard deviation.
Produces a 14.1246% house hold on the 8-to-1 Tie wager in state DEP232.
Within four-deck Asian VIP salons and compact automatic shuffler shoes, profile DEP232 examines 75% shoe depletion (52 of 208 cards remaining) after 14 Rank-5 cards exit, leaving 2 Five-Pip Card cards and a 0.5543% Banker house hold under 4%.
Why does Rank-5 carry a -0.84 bps per-card effect in DEP232? Because Player draws on (DEP232) two-card 5 and stands on (4D-75%) 6, while Banker 3, 4, (DEP232·4D-75%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted, and at 75% penetration (2 Five-Pip Card cards left in 52 4D cards), three-quarters of the shoe (dep232-4d) has been dealt and winning (2/16) banker wagers return 0.96 units (dep232-4d·2/16) net per unit risked.
| Wager / Metric | State DEP232 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP232 Banker (4% Vig) | 45.8694% (-0.5543% EV) | 45.8732% | DEP232 4D 75% (2 Rank-5) |
| DEP232 Player (1:1) | 44.5889% (-1.2805% EV) | 44.5850% | DEP232 52-card 4D stub (0.9385 SD) |
| DEP232 Tie (8:1) | 9.5417% (-14.1246% EV) | 9.5418% | DEP232 Rank-5 (14 out, 2 in) |
Synthesizing DEP232 (4D at 75% depth, 2 Five-Pip Card cards left inside 52 stub cards): 4% rules produce a 0.5543% Banker edge, 1.2805% Player edge, 14.1246% Tie edge, and 0.9385 unit volatility.
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