Removing 4 of 8 Six-Pip Card (Rank-6) cards at 40% penetration of a 2-deck (104-card) shoe leaves 4 Rank-6 cards inside a 62-card stub (DEP147), producing 45.8974% Banker wins, 44.5701% Player wins, 9.5326% Ties, and a 0.5086% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP147 (2D Rank-6 at 40% 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.
40% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
4 6-pip cards (standing threshold and Banker 6 trigger) removed from the 2D pack.
Resolved at 45.8974% Banker win rate under 4% settlement.
Resolved at 44.5701% Player win rate with 0.9353 unit standard deviation.
Produces a 14.2070% house hold on the 8-to-1 Tie wager in state DEP147.
Card-removal benchmark DEP147 measures Six-Pip Card (Rank-6) scarcity at 40% depth in a 2-deck shoe: 4 removed ranks leave 4 in the 62-card remainder, shifting Banker win share to 45.8974% (0.5086% edge, 4% Vig).
Combinatorial weighting in DEP147 (62 cards left from 104 at 40% depth) is governed by two rules: banker 6 only draws (dep147) when player pulls a third-card (2d-40%) 6 or 7; depleting 6s (dep147·2d-40%) directly alters both banker 6 draws and super 6 settlement frequency, and winning banker wagers collect (dep147-2d) 0.96 units per unit staked (4/8) with 60% of the shoe (dep147-2d·4/8) still inside the acrylic carrier (-1.13 bps per Rank-6 removed).
| Wager / Metric | State DEP147 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP147 Banker (4% Vig) | 45.8974% (-0.5086% EV) | 45.8998% | DEP147 2D 40% (4 Rank-6) |
| DEP147 Player (1:1) | 44.5701% (-1.3273% EV) | 44.5676% | DEP147 62-card 2D stub (0.9353 SD) |
| DEP147 Tie (8:1) | 9.5326% (-14.2070% EV) | 9.5326% | DEP147 Rank-6 (4 out, 4 in) |
Statistical verification of DEP147 (2D, 40% penetration, 4 Six-Pip Card cards in 62 stub cards) demonstrates why single-rank depletion (4 Rank-6 dealt) shifts edges by basis points around -0.5086% (4% Vig).
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