Removing 7 of 16 Seven-Pip Card (Rank-7) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-7 cards inside a 125-card stub (DEP246), producing 45.8717% Banker wins, 44.5866% Player wins, 9.5418% Ties, and a 0.5498% Banker house edge under 4%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP246 (4D Rank-7 at 40% 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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 4D pack.
Resolved at 45.8717% Banker win rate under 4% settlement.
Resolved at 44.5866% Player win rate with 0.9356 unit standard deviation.
Produces a 14.1241% house hold on the 8-to-1 Tie wager in state DEP246.
Within four-deck Asian VIP salons and compact automatic shuffler shoes, profile DEP246 examines 40% shoe depletion (125 of 208 cards remaining) after 7 Rank-7 cards exit, leaving 9 Seven-Pip Card cards and a 0.5498% Banker house hold under 4%.
Mechanical draw trees in DEP246 reflect how depleting 7s lowers the (dep246-rank-7) rate of winning three-card banker (125c) 7 hands (the barred push (dep246-rank-7·125c) total on ez baccarat tables). At 40% 4D depth (9 Rank-7 left of 16 in 125 cards, -0.83 bps slope), winning banker wagers collect (dep246-4d) 0.96 units per unit staked (9/16) with 60% of the shoe (dep246-4d·9/16) still inside the acrylic carrier.
| Wager / Metric | State DEP246 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP246 Banker (4% Vig) | 45.8717% (-0.5498% EV) | 45.8732% | DEP246 4D 40% (9 Rank-7) |
| DEP246 Player (1:1) | 44.5866% (-1.2851% EV) | 44.5850% | DEP246 125-card 4D stub (0.9356 SD) |
| DEP246 Tie (8:1) | 9.5418% (-14.1241% EV) | 9.5418% | DEP246 Rank-7 (7 out, 9 in) |
Statistical verification of DEP246 (4D, 40% penetration, 9 Seven-Pip Card cards in 125 stub cards) demonstrates why single-rank depletion (7 Rank-7 dealt) shifts edges by basis points around -0.5498% (4% Vig).
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