Removing 23 of 24 Seven-Pip Card (Rank-7) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-7 cards inside a 47-card stub (DEP342), producing 45.8605% Banker wins, 44.5948% Player wins, 9.5448% Ties, and a 0.9877% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP342 (6D Rank-7 at 85% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
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 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.
Resolved at 45.8605% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5948% Player win rate with 0.9401 unit standard deviation.
Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP342.
Under EZ Baccarat settlement (EZ Bar-7), combinatorial state DEP342 models a 6D carrier with 47 cards left (85% dealt) and 1/24 Seven-Pip Card cards remaining, producing a 0.9877% Banker edge versus 1.2657% on Player.
Comparing initial 312-card 6D weights against stub DEP342 (47 cards, 85% depth, 1 Rank-7 left) illustrates how player stands pat on (dep342) two-card 7, and a player (6d-85%) third-card 7 is the highest (dep342·6d-85%) card that forces banker 4, 5, and 6 to draw (-0.83 bps slope, 0.9877% EZ Bar-7 edge).
| Wager / Metric | State DEP342 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP342 Banker (EZ Bar-7) | 45.8605% (-0.9877% EV) | 45.8648% | DEP342 6D 85% (1 Rank-7) |
| DEP342 Player (1:1) | 44.5948% (-1.2657% EV) | 44.5903% | DEP342 47-card 6D stub (0.9401 SD) |
| DEP342 Tie (8:1) | 9.5448% (-14.0968% EV) | 9.5449% | DEP342 Rank-7 (23 out, 1 in) |
In studio and floor audits of DEP342 (47 cards undealt out of 312 in 6D at 85% depth), a 0.9401 unit standard deviation accompanies the 1-card Rank-7 stub under EZ Bar-7 (45.8605% Banker vs 44.5948% Player).
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