Removing 2 of 4 Six-Pip Card (Rank-6) cards at 40% penetration of a 1-deck (52-card) shoe leaves 2 Rank-6 cards inside a 31-card stub (DEP057), producing 45.9571% Banker wins, 44.5274% Player wins, 9.5156% Ties, and a 0.4085% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP057 (1D 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 1D (single-deck laboratory benchmarks and historical pitch audits).
2 6-pip cards (standing threshold and Banker 6 trigger) removed from the 1D pack.
Resolved at 45.9571% Banker win rate under 4% settlement.
Resolved at 44.5274% Player win rate with 0.9353 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP057.
Audit DEP057 evaluates a 1-deck (52-card) shoe at 40% penetration where 2 of 4 Six-Pip Card cards have exited, leaving 2 Rank-6 cards inside the 31-card stub with Banker EV at -0.4085% under 4%.
Comparing initial 52-card 1D weights against stub DEP057 (31 cards, 40% depth, 2 Rank-6 left) illustrates how banker 6 only draws (dep057) when player pulls a third-card (1d-40%) 6 or 7; depleting 6s (dep057·1d-40%) directly alters both banker 6 draws and super 6 settlement frequency (-1.13 bps slope, 0.4085% 4% Vig edge).
| Wager / Metric | State DEP057 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP057 Banker (4% Vig) | 45.9571% (-0.4085% EV) | 45.9595% | DEP057 1D 40% (2 Rank-6) |
| DEP057 Player (1:1) | 44.5274% (-1.4297% EV) | 44.5249% | DEP057 31-card 1D stub (0.9353 SD) |
| DEP057 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP057 Rank-6 (2 out, 2 in) |
Statistical verification of DEP057 (1D, 40% penetration, 2 Six-Pip Card cards in 31 stub cards) demonstrates why single-rank depletion (2 Rank-6 dealt) shifts edges by basis points around -0.4085% (4% Vig).
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