Removing 13 of 16 Eight-Pip Card (Rank-8) cards at 70% penetration of a 4-deck (208-card) shoe leaves 3 Rank-8 cards inside a 62-card stub (DEP258), producing 45.8711% Banker wins, 44.5871% Player wins, 9.5417% Ties, and a 1.0096% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP258 (4D Rank-8 at 70% 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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
13 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.
Resolved at 45.8711% Banker win rate under 5% settlement.
Resolved at 44.5871% Player win rate with 0.9389 unit standard deviation.
Produces a 14.1245% house hold on the 8-to-1 Tie wager in state DEP258.
Under 5% settlement (5% Vig), combinatorial state DEP258 models a 4D carrier with 62 cards left (70% dealt) and 3/16 Eight-Pip Card cards remaining, producing a 1.0096% Banker edge versus 1.2840% on Player.
Combinatorial weighting in DEP258 (62 cards left from 208 at 70% depth) is governed by two rules: on banker total 3, (dep258) banker draws against every player (4d-70%) third card except 8; removing (dep258·4d-70%) 8s eliminates banker 3's sole standing exception, and with 70% of cards (dep258-4d) dealt and 30% remaining ahead (3/16) of the cut card, winning (dep258-4d·3/16) banker bets pay 0.95 to 1 (-0.50 bps per Rank-8 removed).
| Wager / Metric | State DEP258 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP258 Banker (5% Vig) | 45.8711% (-1.0096% EV) | 45.8732% | DEP258 4D 70% (3 Rank-8) |
| DEP258 Player (1:1) | 44.5871% (-1.2840% EV) | 44.5850% | DEP258 62-card 4D stub (0.9389 SD) |
| DEP258 Tie (8:1) | 9.5417% (-14.1245% EV) | 9.5418% | DEP258 Rank-8 (13 out, 3 in) |
Whether DEP258 is observed in four-deck Asian VIP salons and compact automatic shuffler shoes at 70% depth (62/208 cards left, 3 Rank-8 remaining), 5% Vig settlement locks Banker EV at -1.0096% and Player EV at -1.2840% with 9.5417% Ties.
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