Removing 11 of 24 Seven-Pip Card (Rank-7) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Rank-7 cards inside a 187-card stub (DEP336), producing 45.8632% Banker wins, 44.5920% Player wins, 9.5449% Ties, and a 0.5633% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP336 (6D Rank-7 at 40% 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.
40% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
11 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.
Resolved at 45.8632% Banker win rate under 4% settlement.
Resolved at 44.5920% Player win rate with 0.9356 unit standard deviation.
Produces a 14.0963% house hold on the 8-to-1 Tie wager in state DEP336.
Quantitative proof DEP336 documents 6D rank depletion at 40% depth: 11 exited Rank-7 cards leave 13 of 24 in the 187-card stub, generating 45.8632% Banker wins (-0.5633% EV under 4% Vig) and 44.5920% Player wins.
In 6D audit DEP336 (187/312 stub at 40% depth), depleting 7s lowers the (dep336-rank-7) rate of winning three-card banker (187c) 7 hands (the barred push (dep336-rank-7·187c) total on ez baccarat tables). Removing 11 Rank-7 cards (-0.83 bps per card) alongside 4% Vig rules sets Tie hold to 14.0963% (9.5449% frequency).
| Wager / Metric | State DEP336 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP336 Banker (4% Vig) | 45.8632% (-0.5633% EV) | 45.8648% | DEP336 6D 40% (13 Rank-7) |
| DEP336 Player (1:1) | 44.5920% (-1.2712% EV) | 44.5903% | DEP336 187-card 6D stub (0.9356 SD) |
| DEP336 Tie (8:1) | 9.5449% (-14.0963% EV) | 9.5449% | DEP336 Rank-7 (11 out, 13 in) |
Statistical verification of DEP336 (6D, 40% penetration, 13 Seven-Pip Card cards in 187 stub cards) demonstrates why single-rank depletion (11 Rank-7 dealt) shifts edges by basis points around -0.5633% (4% Vig).
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