Removing 2 of 4 Seven-Pip Card (Rank-7) cards at 40% penetration of a 1-deck (52-card) shoe leaves 2 Rank-7 cards inside a 31-card stub (DEP066), producing 45.9577% Banker wins, 44.5267% Player wins, 9.5156% Ties, and a 0.4073% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP066 (1D Rank-7 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 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.
40% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
2 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 1D pack.
Resolved at 45.9577% Banker win rate under 4% settlement.
Resolved at 44.5267% Player win rate with 0.9356 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP066.
Depletion matrix entry DEP066 pairs 1D (52 cards) at 40% penetration with 2 removed Seven-Pip Card cards (2 left in 31 cards), fixing per-hand volatility at 0.9356 and Banker house hold at 0.4073% (4% Vig).
Mechanical draw trees in DEP066 reflect how depleting 7s lowers the (dep066-rank-7) rate of winning three-card banker (31c) 7 hands (the barred push (dep066-rank-7·31c) total on ez baccarat tables). At 40% 1D depth (2 Rank-7 left of 4 in 31 cards, -0.83 bps slope), winning banker wagers collect (dep066-1d) 0.96 units per unit staked (2/4) with 60% of the shoe (dep066-1d·2/4) still inside the acrylic carrier.
| Wager / Metric | State DEP066 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP066 Banker (4% Vig) | 45.9577% (-0.4073% EV) | 45.9595% | DEP066 1D 40% (2 Rank-7) |
| DEP066 Player (1:1) | 44.5267% (-1.4310% EV) | 44.5249% | DEP066 31-card 1D stub (0.9356 SD) |
| DEP066 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP066 Rank-7 (2 out, 2 in) |
Cut-card protocol at 40% depth in DEP066 (1D, 31 stub cards containing 2 Rank-7 cards) ensures the shoe reshuffles long before 4% house hold (0.4073% Banker / 1.4310% Player) is overturned.
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