Removing 1 of 4 Eight-Pip Card (Rank-8) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Rank-8 cards inside a 47-card stub (DEP073), producing 45.9591% Banker wins, 44.5254% Player wins, 9.5156% Ties, and a 0.8642% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP073 (1D Rank-8 at 10% 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.
10% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.
Resolved at 45.9591% Banker win rate under 5% settlement.
Resolved at 44.5254% Player win rate with 0.9329 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP073.
When a 1D shoe reaches 10% cut-card depth (47 of 52 cards undealt, state DEP073) with 1 Eight-Pip Card cards removed and 3 remaining, Player wins 44.5254% (1.4337% edge) while Banker wins 45.9591% (0.8642% edge under 5%).
In 1D audit DEP073 (47/52 stub at 10% depth), depleting 8-pip cards also (dep073-rank-8) lowers two-card natural 8 lockouts (47c) when paired with zero-point tens (dep073-rank-8·47c) and court cards. Removing 1 Rank-8 cards (-0.50 bps per card) alongside 5% Vig rules sets Tie hold to 14.3598% (9.5156% frequency).
| Wager / Metric | State DEP073 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP073 Banker (5% Vig) | 45.9591% (-0.8642% EV) | 45.9595% | DEP073 1D 10% (3 Rank-8) |
| DEP073 Player (1:1) | 44.5254% (-1.4337% EV) | 44.5249% | DEP073 47-card 1D stub (0.9329 SD) |
| DEP073 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP073 Rank-8 (1 out, 3 in) |
Synthesizing DEP073 (1D at 10% depth, 3 Eight-Pip Card cards left inside 47 stub cards): 5% rules produce a 0.8642% Banker edge, 1.4337% Player edge, 14.3598% Tie edge, and 0.9329 unit volatility.
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