Removing 3 of 4 Five-Pip Card (Rank-5) cards at 75% penetration of a 1-deck (52-card) shoe leaves 1 Rank-5 cards inside a 13-card stub (DEP052), producing 45.9562% Banker wins, 44.5283% Player wins, 9.5155% Ties, and a 0.4103% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP052 (1D Rank-5 at 75% 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.
75% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.
Resolved at 45.9562% Banker win rate under 4% settlement.
Resolved at 44.5283% Player win rate with 0.9385 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP052.
Depletion matrix entry DEP052 pairs 1D (52 cards) at 75% penetration with 3 removed Five-Pip Card cards (1 left in 13 cards), fixing per-hand volatility at 0.9385 and Banker house hold at 0.4103% (4% Vig).
Why does Rank-5 carry a -0.84 bps per-card effect in DEP052? Because Player draws on (DEP052) two-card 5 and stands on (1D-75%) 6, while Banker 3, 4, (DEP052·1D-75%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted, and at 75% penetration (1 Five-Pip Card cards left in 13 1D cards), three-quarters of the shoe (dep052-1d) has been dealt and winning (1/4) banker wagers return 0.96 units (dep052-1d·1/4) net per unit risked.
| Wager / Metric | State DEP052 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP052 Banker (4% Vig) | 45.9562% (-0.4103% EV) | 45.9595% | DEP052 1D 75% (1 Rank-5) |
| DEP052 Player (1:1) | 44.5283% (-1.4280% EV) | 44.5249% | DEP052 13-card 1D stub (0.9385 SD) |
| DEP052 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP052 Rank-5 (3 out, 1 in) |
Scoreboard literacy in DEP052 separates two independent concepts: 1D card-removal math (1 Rank-5 left in 13 cards at 75% depth, 0.9385 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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