Removing 21 of 24 Four-Pip Card (Rank-4) cards at 75% penetration of a 6-deck (312-card) shoe leaves 3 Rank-4 cards inside a 78-card stub (DEP313), producing 45.8702% Banker wins, 44.5848% Player wins, 9.5450% Ties, and a 0.5494% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP313 (6D Rank-4 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 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.
75% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
21 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.
Resolved at 45.8702% Banker win rate under 4% settlement.
Resolved at 44.5848% Player win rate with 0.9382 unit standard deviation.
Produces a 14.0951% house hold on the 8-to-1 Tie wager in state DEP313.
At 75% penetration of a 312-card (6D) shoe, state DEP313 isolates 21 dealt Rank-4 cards (3 remaining inside 78 stub cards), yielding 45.8702% Banker wins, 44.5848% Player wins, and 0.9382 per-hand standard deviation under 4%.
Tracking DEP313 across 78 remaining 6D cards (75% depth) shows that removing 4s produces the (dep313-rank-4) single largest per-card shift toward (78c) banker (and away from player) (dep313-rank-4·78c) of any rank in the shoe. With 21 Rank-4 cards gone (+1.19 bps unit sensitivity), Banker expectation is -0.5494% (4% Vig) vs -1.2854% on Player.
| Wager / Metric | State DEP313 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP313 Banker (4% Vig) | 45.8702% (-0.5494% EV) | 45.8648% | DEP313 6D 75% (3 Rank-4) |
| DEP313 Player (1:1) | 44.5848% (-1.2854% EV) | 44.5903% | DEP313 78-card 6D stub (0.9382 SD) |
| DEP313 Tie (8:1) | 9.5450% (-14.0951% EV) | 9.5449% | DEP313 Rank-4 (21 out, 3 in) |
For DEP313 (78 remaining cards in a 312-card 6D shoe at 75% depth), tracking all 21 exited Rank-4 cards moves Banker win rate to 45.8702% (-0.5494% EV, 4% Vig) and Player to 44.5848% (-1.2854% EV).
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