Removing 21 of 24 Three-Pip (Trey) (Rank-3) cards at 75% penetration of a 6-deck (312-card) shoe leaves 3 Rank-3 cards inside a 78-card stub (DEP304), producing 45.8678% Banker wins, 44.5873% Player wins, 9.5450% Ties, and a 0.5542% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP304 (6D Rank-3 at 75% 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.
75% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
21 3-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8678% Banker win rate under 4% settlement.
Resolved at 44.5873% Player win rate with 0.9379 unit standard deviation.
Produces a 14.0951% house hold on the 8-to-1 Tie wager in state DEP304.
Depletion matrix entry DEP304 pairs 6D (312 cards) at 75% penetration with 21 removed Three-Pip (Trey) cards (3 left in 78 cards), fixing per-hand volatility at 0.9379 and Banker house hold at 0.5542% (4% Vig).
Mechanical draw trees in DEP304 reflect how each removed 3-pip card (dep304-rank-3) modifies the boundary between banker (78c) standing on 5 and drawing (dep304-rank-3·78c) against mid-range player pulls. At 75% 6D depth (3 Rank-3 left of 24 in 78 cards, +0.65 bps slope), three-quarters of the shoe (dep304-6d) has been dealt and winning (3/24) banker wagers return 0.96 units (dep304-6d·3/24) net per unit risked.
| Wager / Metric | State DEP304 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP304 Banker (4% Vig) | 45.8678% (-0.5542% EV) | 45.8648% | DEP304 6D 75% (3 Rank-3) |
| DEP304 Player (1:1) | 44.5873% (-1.2805% EV) | 44.5903% | DEP304 78-card 6D stub (0.9379 SD) |
| DEP304 Tie (8:1) | 9.5450% (-14.0951% EV) | 9.5449% | DEP304 Rank-3 (21 out, 3 in) |
In DEP304, the 78-card 6D stub (75% penetration, 21 of 24 Rank-3 dealt) yields 45.8678% Banker, 44.5873% Player, and 9.5450% Tie outcomes with 0.9379 dispersion under 4% Vig.
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