Removing 4 of 32 Seven-Pip Card (Rank-7) cards at 10% penetration of a 8-deck (416-card) shoe leaves 28 Rank-7 cards inside a 374-card stub (DEP424), producing 45.8593% Banker wins, 44.6251% Player wins, 9.5156% Ties, and a 1.0587% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP424 (8D 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 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 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
4 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 8D pack.
Resolved at 45.8593% Banker win rate under 5% settlement.
Resolved at 44.6251% Player win rate with 0.9326 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP424.
Finite-shoe specification DEP424 tracks Rank-7 removal at 10% depth in 8-deck play: with 28 of 32 Seven-Pip Card cards left in the 374-card stub, Tie incidence is 9.5156% and Banker expectation settles at -1.0587% (5% Vig).
Tracking DEP424 across 374 remaining 8D cards (10% depth) shows that depleting 7s lowers the (dep424-rank-7) rate of winning three-card banker (374c) 7 hands (the barred push (dep424-rank-7·374c) total on ez baccarat tables). With 4 Rank-7 cards gone (-0.83 bps unit sensitivity), Banker expectation is -1.0587% (5% Vig) vs -1.2343% on Player.
| Wager / Metric | State DEP424 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP424 Banker (5% Vig) | 45.8593% (-1.0587% EV) | 45.8597% | DEP424 8D 10% (28 Rank-7) |
| DEP424 Player (1:1) | 44.6251% (-1.2343% EV) | 44.6247% | DEP424 374-card 8D stub (0.9326 SD) |
| DEP424 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP424 Rank-7 (4 out, 28 in) |
Across 100-hand session horizons at state DEP424 (8D 10% depth, 28/32 Rank-7 in 374 cards), single-hand dispersion (0.9326 SD) dominates the 1.0587% (5% Vig) Banker and 1.2343% Player expectation gap.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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