Removing 3 of 24 Seven-Pip Card (Rank-7) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-7 cards inside a 281-card stub (DEP334), producing 45.8644% Banker wins, 44.5907% Player wins, 9.5449% Ties, and a 1.0195% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP334 (6D Rank-7 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 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.
Resolved at 45.8644% Banker win rate under 5% settlement.
Resolved at 44.5907% Player win rate with 0.9326 unit standard deviation.
Produces a 14.0960% house hold on the 8-to-1 Tie wager in state DEP334.
Exact conditional enumeration DEP334 for a 6D shoe at 10% depth (281/312 cards undealt) with 21 remaining Rank-7 cards confirms a 1.0195% Banker edge (5% Vig), 1.2738% Player edge, and 14.0960% Tie edge.
Depleting 7s lowers the (DEP334-Rank-7) rate of winning three-card Banker (281c) 7 hands (the barred push (DEP334-Rank-7·281c) total on EZ Baccarat tables). Because 3 of 24 Seven-Pip Card cards are absent in DEP334 at 10% 6D penetration (281 cards left), per-card sensitivity (-0.83 bps) interacts directly with early-shoe 10% penetration depth (DEP334) under standard 5% Banker commission (Rank-7) (0.95:1 payout).
| Wager / Metric | State DEP334 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP334 Banker (5% Vig) | 45.8644% (-1.0195% EV) | 45.8648% | DEP334 6D 10% (21 Rank-7) |
| DEP334 Player (1:1) | 44.5907% (-1.2738% EV) | 44.5903% | DEP334 281-card 6D stub (0.9326 SD) |
| DEP334 Tie (8:1) | 9.5449% (-14.0960% EV) | 9.5449% | DEP334 Rank-7 (3 out, 21 in) |
In DEP334, the 281-card 6D stub (10% penetration, 3 of 24 Rank-7 dealt) yields 45.8644% Banker, 44.5907% Player, and 9.5449% Tie outcomes with 0.9326 dispersion under 5% Vig.
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