Removing 23 of 24 Three-Pip (Trey) (Rank-3) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-3 cards inside a 47-card stub (DEP306), producing 45.8682% Banker wins, 44.5868% Player wins, 9.5450% Ties, and a 0.9720% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP306 (6D Rank-3 at 85% 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.
85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
23 3-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8682% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5868% Player win rate with 0.9389 unit standard deviation.
Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP306.
Exact conditional enumeration DEP306 for a 6D shoe at 85% depth (47/312 cards undealt) with 1 remaining Rank-3 cards confirms a 0.9720% Banker edge (EZ Bar-7), 1.2814% Player edge, and 14.0950% Tie edge.
When 23 Rank-3 cards exit a 6D shoe by 85% penetration (DEP306, 1 left in 47 cards), each removed 3-pip card (dep306-rank-3) modifies the boundary between banker (47c) standing on 5 and drawing (dep306-rank-3·47c) against mid-range player pulls, combining a +0.65 bps rank vector with EZ Baccarat settlement (-0.9720% Banker EV).
| Wager / Metric | State DEP306 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP306 Banker (EZ Bar-7) | 45.8682% (-0.9720% EV) | 45.8648% | DEP306 6D 85% (1 Rank-3) |
| DEP306 Player (1:1) | 44.5868% (-1.2814% EV) | 44.5903% | DEP306 47-card 6D stub (0.9389 SD) |
| DEP306 Tie (8:1) | 9.5450% (-14.0950% EV) | 9.5449% | DEP306 Rank-3 (23 out, 1 in) |
Statistical verification of DEP306 (6D, 85% penetration, 1 Three-Pip (Trey) cards in 47 stub cards) demonstrates why single-rank depletion (23 Rank-3 dealt) shifts edges by basis points around -0.9720% (EZ Bar-7).
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