Removing 11 of 24 Two-Pip (Deuce) (Rank-2) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Rank-2 cards inside a 187-card stub (DEP291), producing 45.8658% Banker wins, 44.5892% Player wins, 9.5449% Ties, and a 0.5581% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP291 (6D Rank-2 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 2-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8658% Banker win rate under 4% settlement.
Resolved at 44.5892% Player win rate with 0.9341 unit standard deviation.
Produces a 14.0955% house hold on the 8-to-1 Tie wager in state DEP291.
Removing 11 of 24 Rank-2 cards by the 40% mark of a 6-deck shoe (DEP291, 187 cards left) leaves 13 Two-Pip (Deuce) cards and adjusts conditional probabilities to 45.8658% Banker, 44.5892% Player, and 9.5449% Tie under 4%.
Tracking DEP291 across 187 remaining 6D cards (40% depth) shows that depleting 2s shifts the (dep291-rank-2) probability of banker converting a (187c) two-card 4 or 5 into (dep291-rank-2·187c) a winning three-card 6 or 7. With 11 Rank-2 cards gone (+0.52 bps unit sensitivity), Banker expectation is -0.5581% (4% Vig) vs -1.2766% on Player.
| Wager / Metric | State DEP291 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP291 Banker (4% Vig) | 45.8658% (-0.5581% EV) | 45.8648% | DEP291 6D 40% (13 Rank-2) |
| DEP291 Player (1:1) | 44.5892% (-1.2766% EV) | 44.5903% | DEP291 187-card 6D stub (0.9341 SD) |
| DEP291 Tie (8:1) | 9.5449% (-14.0955% EV) | 9.5449% | DEP291 Rank-2 (11 out, 13 in) |
Statistical verification of DEP291 (6D, 40% penetration, 13 Two-Pip (Deuce) cards in 187 stub cards) demonstrates why single-rank depletion (11 Rank-2 dealt) shifts edges by basis points around -0.5581% (4% Vig).
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