Removing 1 of 8 Eight-Pip Card (Rank-8) cards at 10% penetration of a 2-deck (104-card) shoe leaves 7 Rank-8 cards inside a 94-card stub (DEP163), producing 45.8996% Banker wins, 44.5678% Player wins, 9.5326% Ties, and a 0.9632% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP163 (2D Rank-8 at 10% 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.
10% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
1 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8996% Banker win rate under 5% settlement.
Resolved at 44.5678% Player win rate with 0.9329 unit standard deviation.
Produces a 14.2067% house hold on the 8-to-1 Tie wager in state DEP163.
Across 112,869,612,134,400 initial 2D permutations, depletion node DEP163 narrows to a 94-card stub (10% depth) holding 7 of 8 Rank-8 cards, where Banker resolves at 45.8996% (-0.9632% EV) and Player at 44.5678% (-1.3318% EV).
In six-card resolution tree DEP163 (2D at 10% depth, 94 cards left), depleting 8-pip cards also (dep163-rank-8) lowers two-card natural 8 lockouts (94c) when paired with zero-point tens (dep163-rank-8·94c) and court cards; removing 1 of 8 Rank-8 cards (-0.50 bps weight) leaves Banker at -0.9632% EV under 5%.
| Wager / Metric | State DEP163 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP163 Banker (5% Vig) | 45.8996% (-0.9632% EV) | 45.8998% | DEP163 2D 10% (7 Rank-8) |
| DEP163 Player (1:1) | 44.5678% (-1.3318% EV) | 44.5676% | DEP163 94-card 2D stub (0.9329 SD) |
| DEP163 Tie (8:1) | 9.5326% (-14.2067% EV) | 9.5326% | DEP163 Rank-8 (1 out, 7 in) |
Synthesizing DEP163 (2D at 10% depth, 7 Eight-Pip Card cards left inside 94 stub cards): 5% rules produce a 0.9632% Banker edge, 1.3318% Player edge, 14.2067% Tie edge, and 0.9329 unit volatility.
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