Removing 6 of 8 Six-Pip Card (Rank-6) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Rank-6 cards inside a 31-card stub (DEP150), producing 45.8955% Banker wins, 44.5720% Player wins, 9.5325% Ties, and a 0.9712% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP150 (2D Rank-6 at 70% depth).
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.
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 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 6-pip cards (standing threshold and Banker 6 trigger) removed from the 2D pack.
Resolved at 45.8955% Banker win rate under 5% settlement.
Resolved at 44.5720% Player win rate with 0.9383 unit standard deviation.
Produces a 14.2073% house hold on the 8-to-1 Tie wager in state DEP150.
Depletion matrix entry DEP150 pairs 2D (104 cards) at 70% penetration with 6 removed Six-Pip Card cards (2 left in 31 cards), fixing per-hand volatility at 0.9383 and Banker house hold at 0.9712% (5% Vig).
Because removing 6-pip cards produces (dep150-rank-6) the strongest per-card shift toward (31c) the player side and reduces (dep150-rank-6·31c) barred banker 6 incidence, state DEP150 (70% 2D depth, 6 Rank-6 removed, 2 in 31 cards) registers a -1.13 bps rank derivative and 0.9712% Banker house edge (5% Vig).
| Wager / Metric | State DEP150 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP150 Banker (5% Vig) | 45.8955% (-0.9712% EV) | 45.8998% | DEP150 2D 70% (2 Rank-6) |
| DEP150 Player (1:1) | 44.5720% (-1.3235% EV) | 44.5676% | DEP150 31-card 2D stub (0.9383 SD) |
| DEP150 Tie (8:1) | 9.5325% (-14.2073% EV) | 9.5326% | DEP150 Rank-6 (6 out, 2 in) |
Across 100-hand session horizons at state DEP150 (2D 70% depth, 2/8 Rank-6 in 31 cards), single-hand dispersion (0.9383 SD) dominates the 0.9712% (5% Vig) Banker and 1.3235% Player expectation gap.
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