Removing 5 of 16 Six-Pip Card (Rank-6) cards at 25% penetration of a 4-deck (208-card) shoe leaves 11 Rank-6 cards inside a 156-card stub (DEP236), producing 45.8718% Banker wins, 44.5864% Player wins, 9.5418% Ties, and a 1.0081% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP236 (4D Rank-6 at 25% 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
25% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
5 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.
Resolved at 45.8718% Banker win rate under 5% settlement.
Resolved at 44.5864% Player win rate with 0.9338 unit standard deviation.
Produces a 14.1240% house hold on the 8-to-1 Tie wager in state DEP236.
Exact conditional enumeration DEP236 for a 4D shoe at 25% depth (156/208 cards undealt) with 11 remaining Rank-6 cards confirms a 1.0081% Banker edge (5% Vig), 1.2854% Player edge, and 14.1240% Tie edge.
Combinatorial weighting in DEP236 (156 cards left from 208 at 25% depth) is governed by two rules: banker 6 only draws (dep236) when player pulls a third-card (4d-25%) 6 or 7; depleting 6s (dep236·4d-25%) directly alters both banker 6 draws and super 6 settlement frequency, and one-quarter of the shoe (dep236-4d) has exited the carrier and (11/16) winning banker wagers pay 0.95 (dep236-4d·11/16) to 1 after 5% house tax (-1.13 bps per Rank-6 removed).
| Wager / Metric | State DEP236 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP236 Banker (5% Vig) | 45.8718% (-1.0081% EV) | 45.8732% | DEP236 4D 25% (11 Rank-6) |
| DEP236 Player (1:1) | 44.5864% (-1.2854% EV) | 44.5850% | DEP236 156-card 4D stub (0.9338 SD) |
| DEP236 Tie (8:1) | 9.5418% (-14.1240% EV) | 9.5418% | DEP236 Rank-6 (5 out, 11 in) |
In studio and floor audits of DEP236 (156 cards undealt out of 208 in 4D at 25% depth), a 0.9338 unit standard deviation accompanies the 11-card Rank-6 stub under 5% Vig (45.8718% Banker vs 44.5864% Player).
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