Removing 15 of 32 Seven-Pip Card (Rank-7) cards at 40% penetration of a 8-deck (416-card) shoe leaves 17 Rank-7 cards inside a 250-card stub (DEP426), producing 45.8580% Banker wins, 44.6264% Player wins, 9.5156% Ties, and a 0.6027% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP426 (8D 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.
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.
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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
15 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 8D pack.
Resolved at 45.8580% Banker win rate under 4% settlement.
Resolved at 44.6264% Player win rate with 0.9356 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP426.
Under 4% settlement (4% Vig), combinatorial state DEP426 models a 8D carrier with 250 cards left (40% dealt) and 17/32 Seven-Pip Card cards remaining, producing a 0.6027% Banker edge versus 1.2316% on Player.
Mechanical draw trees in DEP426 reflect how depleting 7s lowers the (dep426-rank-7) rate of winning three-card banker (250c) 7 hands (the barred push (dep426-rank-7·250c) total on ez baccarat tables). At 40% 8D depth (17 Rank-7 left of 32 in 250 cards, -0.83 bps slope), winning banker wagers collect (dep426-8d) 0.96 units per unit staked (17/32) with 60% of the shoe (dep426-8d·17/32) still inside the acrylic carrier.
| Wager / Metric | State DEP426 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP426 Banker (4% Vig) | 45.8580% (-0.6027% EV) | 45.8597% | DEP426 8D 40% (17 Rank-7) |
| DEP426 Player (1:1) | 44.6264% (-1.2316% EV) | 44.6247% | DEP426 250-card 8D stub (0.9356 SD) |
| DEP426 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP426 Rank-7 (15 out, 17 in) |
In studio and floor audits of DEP426 (250 cards undealt out of 416 in 8D at 40% depth), a 0.9356 unit standard deviation accompanies the 17-card Rank-7 stub under 4% Vig (45.8580% Banker vs 44.6264% Player).
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