Removing 3 of 24 Eight-Pip Card (Rank-8) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-8 cards inside a 281-card stub (DEP343), producing 45.8646% Banker wins, 44.5905% Player wins, 9.5449% Ties, and a 1.0192% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP343 (6D 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 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 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 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 6D pack.
Resolved at 45.8646% Banker win rate under 5% settlement.
Resolved at 44.5905% Player win rate with 0.9329 unit standard deviation.
Produces a 14.0960% house hold on the 8-to-1 Tie wager in state DEP343.
Card-removal benchmark DEP343 measures Eight-Pip Card (Rank-8) scarcity at 10% depth in a 6-deck shoe: 3 removed ranks leave 21 in the 281-card remainder, shifting Banker win share to 45.8646% (1.0192% edge, 5% Vig).
In six-card resolution tree DEP343 (6D at 10% depth, 281 cards left), depleting 8-pip cards also (dep343-rank-8) lowers two-card natural 8 lockouts (281c) when paired with zero-point tens (dep343-rank-8·281c) and court cards; removing 3 of 24 Rank-8 cards (-0.50 bps weight) leaves Banker at -1.0192% EV under 5%.
| Wager / Metric | State DEP343 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP343 Banker (5% Vig) | 45.8646% (-1.0192% EV) | 45.8648% | DEP343 6D 10% (21 Rank-8) |
| DEP343 Player (1:1) | 44.5905% (-1.2741% EV) | 44.5903% | DEP343 281-card 6D stub (0.9329 SD) |
| DEP343 Tie (8:1) | 9.5449% (-14.0960% EV) | 9.5449% | DEP343 Rank-8 (3 out, 21 in) |
For DEP343 (281 remaining cards in a 312-card 6D shoe at 10% depth), tracking all 3 exited Rank-8 cards moves Banker win rate to 45.8646% (-1.0192% EV, 5% Vig) and Player to 44.5905% (-1.2741% EV).
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