Removing 7 of 8 Eight-Pip Card (Rank-8) cards at 75% penetration of a 2-deck (104-card) shoe leaves 1 Rank-8 cards inside a 26-card stub (DEP169), producing 45.8975% Banker wins, 44.5700% Player wins, 9.5325% Ties, and a 0.5083% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP169 (2D Rank-8 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 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8975% Banker win rate under 4% settlement.
Resolved at 44.5700% Player win rate with 0.9394 unit standard deviation.
Produces a 14.2074% house hold on the 8-to-1 Tie wager in state DEP169.
Audit DEP169 evaluates a 2-deck (104-card) shoe at 75% penetration where 7 of 8 Eight-Pip Card cards have exited, leaving 1 Rank-8 cards inside the 26-card stub with Banker EV at -0.5083% under 4%.
Combinatorial weighting in DEP169 (26 cards left from 104 at 75% depth) is governed by two rules: on banker total 3, (dep169) banker draws against every player (2d-75%) third card except 8; removing (dep169·2d-75%) 8s eliminates banker 3's sole standing exception, and three-quarters of the shoe (dep169-2d) has been dealt and winning (1/8) banker wagers return 0.96 units (dep169-2d·1/8) net per unit risked (-0.50 bps per Rank-8 removed).
| Wager / Metric | State DEP169 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP169 Banker (4% Vig) | 45.8975% (-0.5083% EV) | 45.8998% | DEP169 2D 75% (1 Rank-8) |
| DEP169 Player (1:1) | 44.5700% (-1.3276% EV) | 44.5676% | DEP169 26-card 2D stub (0.9394 SD) |
| DEP169 Tie (8:1) | 9.5325% (-14.2074% EV) | 9.5326% | DEP169 Rank-8 (7 out, 1 in) |
For DEP169 (26 remaining cards in a 104-card 2D shoe at 75% depth), tracking all 7 exited Rank-8 cards moves Banker win rate to 45.8975% (-0.5083% EV, 4% Vig) and Player to 44.5700% (-1.3276% EV).
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