Removing 11 of 24 Eight-Pip Card (Rank-8) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Rank-8 cards inside a 187-card stub (DEP345), producing 45.8638% Banker wins, 44.5913% Player wins, 9.5449% Ties, and a 0.5620% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP345 (6D Rank-8 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 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.
40% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
11 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 6D pack.
Resolved at 45.8638% Banker win rate under 4% settlement.
Resolved at 44.5913% Player win rate with 0.9359 unit standard deviation.
Produces a 14.0963% house hold on the 8-to-1 Tie wager in state DEP345.
Across 89,520,558,110,592,000 initial 6D permutations, depletion node DEP345 narrows to a 187-card stub (40% depth) holding 13 of 24 Rank-8 cards, where Banker resolves at 45.8638% (-0.5620% EV) and Player at 44.5913% (-1.2725% EV).
Depleting 8-pip cards also (DEP345-Rank-8) lowers two-card Natural 8 lockouts (187c) when paired with zero-point tens (DEP345-Rank-8·187c) and court cards. Because 11 of 24 Eight-Pip Card cards are absent in DEP345 at 40% 6D penetration (187 cards left), per-card sensitivity (-0.50 bps) interacts directly with mid-early 40% penetration depth (DEP345) under reduced 4% Banker commission (Rank-8) (0.96:1 payout).
| Wager / Metric | State DEP345 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP345 Banker (4% Vig) | 45.8638% (-0.5620% EV) | 45.8648% | DEP345 6D 40% (13 Rank-8) |
| DEP345 Player (1:1) | 44.5913% (-1.2725% EV) | 44.5903% | DEP345 187-card 6D stub (0.9359 SD) |
| DEP345 Tie (8:1) | 9.5449% (-14.0963% EV) | 9.5449% | DEP345 Rank-8 (11 out, 13 in) |
Comparing DEP345 (40% 6D depth, 11 Rank-8 removed, 13 remaining in 187 cards) against fresh-shoe baselines shows how finite-stub variance (0.9359 SD) coexists with a 0.5620% 4% Banker house edge.
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