Removing 2 of 4 Eight-Pip Card (Rank-8) cards at 40% penetration of a 1-deck (52-card) shoe leaves 2 Rank-8 cards inside a 31-card stub (DEP075), producing 45.9584% Banker wins, 44.5260% Player wins, 9.5156% Ties, and a 0.4059% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP075 (1D Rank-8 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.
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.
40% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
2 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.
Resolved at 45.9584% Banker win rate under 4% settlement.
Resolved at 44.5260% Player win rate with 0.9359 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP075.
At 40% penetration of a 52-card (1D) shoe, state DEP075 isolates 2 dealt Rank-8 cards (2 remaining inside 31 stub cards), yielding 45.9584% Banker wins, 44.5260% Player wins, and 0.9359 per-hand standard deviation under 4%.
Tracking DEP075 across 31 remaining 1D cards (40% depth) shows that depleting 8-pip cards also (dep075-rank-8) lowers two-card natural 8 lockouts (31c) when paired with zero-point tens (dep075-rank-8·31c) and court cards. With 2 Rank-8 cards gone (-0.50 bps unit sensitivity), Banker expectation is -0.4059% (4% Vig) vs -1.4324% on Player.
| Wager / Metric | State DEP075 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP075 Banker (4% Vig) | 45.9584% (-0.4059% EV) | 45.9595% | DEP075 1D 40% (2 Rank-8) |
| DEP075 Player (1:1) | 44.5260% (-1.4324% EV) | 44.5249% | DEP075 31-card 1D stub (0.9359 SD) |
| DEP075 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP075 Rank-8 (2 out, 2 in) |
Across 100-hand session horizons at state DEP075 (1D 40% depth, 2/4 Rank-8 in 31 cards), single-hand dispersion (0.9359 SD) dominates the 0.4059% (4% Vig) Banker and 1.4324% Player expectation gap.
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