Removing 6 of 8 Five-Pip Card (Rank-5) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Rank-5 cards inside a 31-card stub (DEP141), producing 45.8966% Banker wins, 44.5709% Player wins, 9.5325% Ties, and a 0.9691% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP141 (2D Rank-5 at 70% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.
Resolved at 45.8966% Banker win rate under 5% settlement.
Resolved at 44.5709% Player win rate with 0.9380 unit standard deviation.
Produces a 14.2073% house hold on the 8-to-1 Tie wager in state DEP141.
Audit DEP141 evaluates a 2-deck (104-card) shoe at 70% penetration where 6 of 8 Five-Pip Card cards have exited, leaving 2 Rank-5 cards inside the 31-card stub with Banker EV at -0.9691% under 5%.
Under the fixed third-card tableau for DEP141, because player draws on (dep141) two-card 5 and stands on (2d-70%) 6, while banker 3, 4, (dep141·2d-70%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. With 2 Rank-5 cards inside 31 remaining 2D cards (70% dealt), single-card slope (-0.84 bps) keeps Banker house edge at 0.9691% and Player at 1.3257%.
| Wager / Metric | State DEP141 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP141 Banker (5% Vig) | 45.8966% (-0.9691% EV) | 45.8998% | DEP141 2D 70% (2 Rank-5) |
| DEP141 Player (1:1) | 44.5709% (-1.3257% EV) | 44.5676% | DEP141 31-card 2D stub (0.9380 SD) |
| DEP141 Tie (8:1) | 9.5325% (-14.2073% EV) | 9.5326% | DEP141 Rank-5 (6 out, 2 in) |
Comparing DEP141 (70% 2D depth, 6 Rank-5 removed, 2 remaining in 31 cards) against fresh-shoe baselines shows how finite-stub variance (0.9380 SD) coexists with a 0.9691% 5% Banker house edge.
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