Removing 3 of 24 Two-Pip (Deuce) (Rank-2) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-2 cards inside a 281-card stub (DEP289), producing 45.8650% Banker wins, 44.5901% Player wins, 9.5449% Ties, and a 1.0183% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP289 (6D Rank-2 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 2-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8650% Banker win rate under 5% settlement.
Resolved at 44.5901% Player win rate with 0.9311 unit standard deviation.
Produces a 14.0958% house hold on the 8-to-1 Tie wager in state DEP289.
Across 89,520,558,110,592,000 initial 6D permutations, depletion node DEP289 narrows to a 281-card stub (10% depth) holding 21 of 24 Rank-2 cards, where Banker resolves at 45.8650% (-1.0183% EV) and Player at 44.5901% (-1.2750% EV).
In 6D audit DEP289 (281/312 stub at 10% depth), depleting 2s shifts the (dep289-rank-2) probability of banker converting a (281c) two-card 4 or 5 into (dep289-rank-2·281c) a winning three-card 6 or 7. Removing 3 Rank-2 cards (+0.52 bps per card) alongside 5% Vig rules sets Tie hold to 14.0958% (9.5449% frequency).
| Wager / Metric | State DEP289 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP289 Banker (5% Vig) | 45.8650% (-1.0183% EV) | 45.8648% | DEP289 6D 10% (21 Rank-2) |
| DEP289 Player (1:1) | 44.5901% (-1.2750% EV) | 44.5903% | DEP289 281-card 6D stub (0.9311 SD) |
| DEP289 Tie (8:1) | 9.5449% (-14.0958% EV) | 9.5449% | DEP289 Rank-2 (3 out, 21 in) |
In DEP289, the 281-card 6D stub (10% penetration, 3 of 24 Rank-2 dealt) yields 45.8650% Banker, 44.5901% Player, and 9.5449% Tie outcomes with 0.9311 dispersion under 5% Vig.
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