Removing 1 of 4 Four-Pip Card (Rank-4) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Rank-4 cards inside a 47-card stub (DEP037), producing 45.9605% Banker wins, 44.5239% Player wins, 9.5156% Ties, and a 0.8613% Banker house edge under 5%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP037 (1D Rank-4 at 10% 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.
10% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 1D pack.
Resolved at 45.9605% Banker win rate under 5% settlement.
Resolved at 44.5239% Player win rate with 0.9317 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP037.
Across 14,658,134,400 initial 1D permutations, depletion node DEP037 narrows to a 47-card stub (10% depth) holding 3 of 4 Rank-4 cards, where Banker resolves at 45.9605% (-0.8613% EV) and Player at 44.5239% (-1.4367% EV).
Rank 4 sits at (DEP037) the exact pivot where Banker (1D-10%) 5 begins drawing (Player third (DEP037·1D-10%) card 4–7) while Banker 3 and 4 also draw. In state DEP037 (1D, 10% depth), each removed Rank-4 card applies a +1.19 bps baseline directional pressure before scaling to the 47-card remainder (3 Rank-4 left), while Winning Banker tickets pay (DEP037-1D) 0.95 units per unit staked (3/4) while 90% of the initial (DEP037-1D·3/4) shoe remains undealt.
| Wager / Metric | State DEP037 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP037 Banker (5% Vig) | 45.9605% (-0.8613% EV) | 45.9595% | DEP037 1D 10% (3 Rank-4) |
| DEP037 Player (1:1) | 44.5239% (-1.4367% EV) | 44.5249% | DEP037 47-card 1D stub (0.9317 SD) |
| DEP037 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP037 Rank-4 (1 out, 3 in) |
Scoreboard literacy in DEP037 separates two independent concepts: 1D card-removal math (3 Rank-4 left in 47 cards at 10% depth, 0.9317 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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