Removing 1 of 8 Six-Pip Card (Rank-6) cards at 10% penetration of a 2-deck (104-card) shoe leaves 7 Rank-6 cards inside a 94-card stub (DEP145), producing 45.8993% Banker wins, 44.5681% Player wins, 9.5326% Ties, and a 0.9638% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP145 (2D Rank-6 at 10% 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.
10% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
1 6-pip cards (standing threshold and Banker 6 trigger) removed from the 2D pack.
Resolved at 45.8993% Banker win rate under 5% settlement.
Resolved at 44.5681% Player win rate with 0.9323 unit standard deviation.
Produces a 14.2067% house hold on the 8-to-1 Tie wager in state DEP145.
At 10% penetration of a 104-card (2D) shoe, state DEP145 isolates 1 dealt Rank-6 cards (7 remaining inside 94 stub cards), yielding 45.8993% Banker wins, 44.5681% Player wins, and 0.9323 per-hand standard deviation under 5%.
For DEP145 (2-deck shoe, 10% dealt), banker 6 only draws (dep145) when player pulls a third-card (2d-10%) 6 or 7; depleting 6s (dep145·2d-10%) directly alters both banker 6 draws and super 6 settlement frequency. Holding 7 of 8 Rank-6 cards in a 94-card stub with -1.13 bps rank slope yields 45.8993% Banker, 44.5681% Player, and 9.5326% Tie.
| Wager / Metric | State DEP145 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP145 Banker (5% Vig) | 45.8993% (-0.9638% EV) | 45.8998% | DEP145 2D 10% (7 Rank-6) |
| DEP145 Player (1:1) | 44.5681% (-1.3312% EV) | 44.5676% | DEP145 94-card 2D stub (0.9323 SD) |
| DEP145 Tie (8:1) | 9.5326% (-14.2067% EV) | 9.5326% | DEP145 Rank-6 (1 out, 7 in) |
In DEP145, the 94-card 2D stub (10% penetration, 1 of 8 Rank-6 dealt) yields 45.8993% Banker, 44.5681% Player, and 9.5326% Tie outcomes with 0.9323 dispersion under 5% Vig.
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