Removing 2 of 8 Seven-Pip Card (Rank-7) cards at 25% penetration of a 2-deck (104-card) shoe leaves 6 Rank-7 cards inside a 78-card stub (DEP155), producing 45.8990% Banker wins, 44.5684% Player wins, 9.5326% Ties, and a 0.9644% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP155 (2D Rank-7 at 25% 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 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.
25% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
2 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 2D pack.
Resolved at 45.8990% Banker win rate under 5% settlement.
Resolved at 44.5684% Player win rate with 0.9341 unit standard deviation.
Produces a 14.2068% house hold on the 8-to-1 Tie wager in state DEP155.
Audit DEP155 evaluates a 2-deck (104-card) shoe at 25% penetration where 2 of 8 Seven-Pip Card cards have exited, leaving 6 Rank-7 cards inside the 78-card stub with Banker EV at -0.9644% under 5%.
Tracking DEP155 across 78 remaining 2D cards (25% depth) shows that depleting 7s lowers the (dep155-rank-7) rate of winning three-card banker (78c) 7 hands (the barred push (dep155-rank-7·78c) total on ez baccarat tables). With 2 Rank-7 cards gone (-0.83 bps unit sensitivity), Banker expectation is -0.9644% (5% Vig) vs -1.3306% on Player.
| Wager / Metric | State DEP155 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP155 Banker (5% Vig) | 45.8990% (-0.9644% EV) | 45.8998% | DEP155 2D 25% (6 Rank-7) |
| DEP155 Player (1:1) | 44.5684% (-1.3306% EV) | 44.5676% | DEP155 78-card 2D stub (0.9341 SD) |
| DEP155 Tie (8:1) | 9.5326% (-14.2068% EV) | 9.5326% | DEP155 Rank-7 (2 out, 6 in) |
Even at 25% penetration in DEP155 where 2 Rank-7 cards have exited a 2D shoe (6 left in 78 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.9644% EV, 5% Vig) or Player (-1.3306% EV) is favored next.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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