Removing 2 of 16 Three-Pip (Trey) (Rank-3) cards at 10% penetration of a 4-deck (208-card) shoe leaves 14 Rank-3 cards inside a 187-card stub (DEP208), producing 45.8735% Banker wins, 44.5847% Player wins, 9.5418% Ties, and a 1.0049% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP208 (4D Rank-3 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 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.
10% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
2 3-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8735% Banker win rate under 5% settlement.
Resolved at 44.5847% Player win rate with 0.9314 unit standard deviation.
Produces a 14.1237% house hold on the 8-to-1 Tie wager in state DEP208.
Exact conditional enumeration DEP208 for a 4D shoe at 10% depth (187/208 cards undealt) with 14 remaining Rank-3 cards confirms a 1.0049% Banker edge (5% Vig), 1.2888% Player edge, and 14.1237% Tie edge.
Under the fixed third-card tableau for DEP208, banker total 4 draws (dep208) on player third-card 3, and (4d-10%) banker total 5 stands on (dep208·4d-10%) player third-card 3, creating asymmetric sensitivity. With 14 Rank-3 cards inside 187 remaining 4D cards (10% dealt), single-card slope (+0.65 bps) keeps Banker house edge at 1.0049% and Player at 1.2888%.
| Wager / Metric | State DEP208 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP208 Banker (5% Vig) | 45.8735% (-1.0049% EV) | 45.8732% | DEP208 4D 10% (14 Rank-3) |
| DEP208 Player (1:1) | 44.5847% (-1.2888% EV) | 44.5850% | DEP208 187-card 4D stub (0.9314 SD) |
| DEP208 Tie (8:1) | 9.5418% (-14.1237% EV) | 9.5418% | DEP208 Rank-3 (2 out, 14 in) |
Even at 10% penetration in DEP208 where 2 Rank-3 cards have exited a 4D shoe (14 left in 187 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0049% EV, 5% Vig) or Player (-1.2888% EV) is favored next.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
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.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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