Removing 2 of 4 Five-Pip Card (Rank-5) cards at 40% penetration of a 1-deck (52-card) shoe leaves 2 Rank-5 cards inside a 31-card stub (DEP048), producing 45.9577% Banker wins, 44.5267% Player wins, 9.5156% Ties, and a 0.4073% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP048 (1D Rank-5 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 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.
Resolved at 45.9577% Banker win rate under 4% settlement.
Resolved at 44.5267% Player win rate with 0.9350 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP048.
Under 4% settlement (4% Vig), combinatorial state DEP048 models a 1D carrier with 31 cards left (40% dealt) and 2/4 Five-Pip Card cards remaining, producing a 0.4073% Banker edge versus 1.4310% on Player.
Because Player draws on (DEP048) two-card 5 and stands on (1D-40%) 6, while Banker 3, 4, (DEP048·1D-40%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted. In state DEP048 (1D, 40% depth), each removed Rank-5 card applies a -0.84 bps baseline directional pressure before scaling to the 31-card remainder (2 Rank-5 left), while Winning Banker wagers collect (DEP048-1D) 0.96 units per unit staked (2/4) with 60% of the shoe (DEP048-1D·2/4) still inside the acrylic carrier.
| Wager / Metric | State DEP048 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP048 Banker (4% Vig) | 45.9577% (-0.4073% EV) | 45.9595% | DEP048 1D 40% (2 Rank-5) |
| DEP048 Player (1:1) | 44.5267% (-1.4310% EV) | 44.5249% | DEP048 31-card 1D stub (0.9350 SD) |
| DEP048 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP048 Rank-5 (2 out, 2 in) |
For DEP048 (31 remaining cards in a 52-card 1D shoe at 40% depth), tracking all 2 exited Rank-5 cards moves Banker win rate to 45.9577% (-0.4073% EV, 4% Vig) and Player to 44.5267% (-1.4310% EV).
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