Removing 14 of 24 Seven-Pip Card (Rank-7) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-7 cards inside a 156-card stub (DEP337), producing 45.8626% Banker wins, 44.5925% Player wins, 9.5448% Ties, and a 1.4229% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP337 (6D Rank-7 at 50% 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.
50% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
14 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.
Resolved at 45.8626% Banker win rate under Super 6 settlement.
Resolved at 44.5925% Player win rate with 0.9366 unit standard deviation.
Produces a 14.0964% house hold on the 8-to-1 Tie wager in state DEP337.
Audit DEP337 evaluates a 6-deck (312-card) shoe at 50% penetration where 14 of 24 Seven-Pip Card cards have exited, leaving 10 Rank-7 cards inside the 156-card stub with Banker EV at -1.4229% under Super 6.
Mechanical draw trees in DEP337 reflect how depleting 7s lowers the (dep337-rank-7) rate of winning three-card banker (156c) 7 hands (the barred push (dep337-rank-7·156c) total on ez baccarat tables). At 50% 6D depth (10 Rank-7 left of 24 in 156 cards, -0.83 bps slope), banker wins on totals (dep337-6d) 1–5 and 7–9 pay 1:1 (10/24) while any winning 2-card or (dep337-6d·10/24) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP337 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP337 Banker (Super 6) | 45.8626% (-1.4229% EV) | 45.8648% | DEP337 6D 50% (10 Rank-7) |
| DEP337 Player (1:1) | 44.5925% (-1.2701% EV) | 44.5903% | DEP337 156-card 6D stub (0.9366 SD) |
| DEP337 Tie (8:1) | 9.5448% (-14.0964% EV) | 9.5449% | DEP337 Rank-7 (14 out, 10 in) |
Statistical verification of DEP337 (6D, 50% penetration, 10 Seven-Pip Card cards in 156 stub cards) demonstrates why single-rank depletion (14 Rank-7 dealt) shifts edges by basis points around -1.4229% (Super 6).
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