Removing 2 of 16 Seven-Pip Card (Rank-7) cards at 10% penetration of a 4-deck (208-card) shoe leaves 14 Rank-7 cards inside a 187-card stub (DEP244), producing 45.8728% Banker wins, 44.5854% Player wins, 9.5418% Ties, and a 1.0062% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP244 (4D Rank-7 at 10% 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
10% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
2 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 4D pack.
Resolved at 45.8728% Banker win rate under 5% settlement.
Resolved at 44.5854% Player win rate with 0.9326 unit standard deviation.
Produces a 14.1239% house hold on the 8-to-1 Tie wager in state DEP244.
Under 5% settlement (5% Vig), combinatorial state DEP244 models a 4D carrier with 187 cards left (10% dealt) and 14/16 Seven-Pip Card cards remaining, producing a 1.0062% Banker edge versus 1.2875% on Player.
Tracking DEP244 across 187 remaining 4D cards (10% depth) shows that depleting 7s lowers the (dep244-rank-7) rate of winning three-card banker (187c) 7 hands (the barred push (dep244-rank-7·187c) total on ez baccarat tables). With 2 Rank-7 cards gone (-0.83 bps unit sensitivity), Banker expectation is -1.0062% (5% Vig) vs -1.2875% on Player.
| Wager / Metric | State DEP244 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP244 Banker (5% Vig) | 45.8728% (-1.0062% EV) | 45.8732% | DEP244 4D 10% (14 Rank-7) |
| DEP244 Player (1:1) | 44.5854% (-1.2875% EV) | 44.5850% | DEP244 187-card 4D stub (0.9326 SD) |
| DEP244 Tie (8:1) | 9.5418% (-14.1239% EV) | 9.5418% | DEP244 Rank-7 (2 out, 14 in) |
In DEP244, the 187-card 4D stub (10% penetration, 2 of 16 Rank-7 dealt) yields 45.8728% Banker, 44.5854% Player, and 9.5418% Tie outcomes with 0.9326 dispersion under 5% Vig.
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