Removing 2 of 8 Five-Pip Card (Rank-5) cards at 25% penetration of a 2-deck (104-card) shoe leaves 6 Rank-5 cards inside a 78-card stub (DEP137), producing 45.8990% Banker wins, 44.5684% Player wins, 9.5326% Ties, and a 0.9644% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP137 (2D Rank-5 at 25% 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.
25% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
2 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.
Resolved at 45.8990% Banker win rate under 5% settlement.
Resolved at 44.5684% Player win rate with 0.9335 unit standard deviation.
Produces a 14.2068% house hold on the 8-to-1 Tie wager in state DEP137.
Removing 2 of 8 Rank-5 cards by the 25% mark of a 2-deck shoe (DEP137, 78 cards left) leaves 6 Five-Pip Card cards and adjusts conditional probabilities to 45.8990% Banker, 44.5684% Player, and 9.5326% Tie under 5%.
When 2 Rank-5 cards exit a 2D shoe by 25% penetration (DEP137, 6 left in 78 cards), fewer 5s in the (dep137-rank-5) stub reduce banker third-card improvements (78c) from 3 to 8 and (dep137-rank-5·78c) from 4 to 9, combining a -0.84 bps rank vector with 5% settlement (-0.9644% Banker EV).
| Wager / Metric | State DEP137 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP137 Banker (5% Vig) | 45.8990% (-0.9644% EV) | 45.8998% | DEP137 2D 25% (6 Rank-5) |
| DEP137 Player (1:1) | 44.5684% (-1.3306% EV) | 44.5676% | DEP137 78-card 2D stub (0.9335 SD) |
| DEP137 Tie (8:1) | 9.5326% (-14.2068% EV) | 9.5326% | DEP137 Rank-5 (2 out, 6 in) |
In studio and floor audits of DEP137 (78 cards undealt out of 104 in 2D at 25% depth), a 0.9335 unit standard deviation accompanies the 6-card Rank-5 stub under 5% Vig (45.8990% Banker vs 44.5684% Player).
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