Removing 9 of 16 Six-Pip Card (Rank-6) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-6 cards inside a 104-card stub (DEP238), producing 45.8703% Banker wins, 44.5879% Player wins, 9.5417% Ties, and a 1.4106% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP238 (4D Rank-6 at 50% 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.
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.
50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
9 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.
Resolved at 45.8703% Banker win rate under Super 6 settlement.
Resolved at 44.5879% Player win rate with 0.9363 unit standard deviation.
Produces a 14.1243% house hold on the 8-to-1 Tie wager in state DEP238.
Quantitative proof DEP238 documents 4D rank depletion at 50% depth: 9 exited Rank-6 cards leave 7 of 16 in the 104-card stub, generating 45.8703% Banker wins (-1.4106% EV under Super 6) and 44.5879% Player wins.
Tableau audit DEP238 confirms that banker 6 only draws (dep238) when player pulls a third-card (4d-50%) 6 or 7; depleting 6s (dep238·4d-50%) directly alters both banker 6 draws and super 6 settlement frequency. Inside the 104-card 4D stub (50% depth, 7/16 Rank-6 remaining, -1.13 bps slope), standard deviation is 0.9363 under Super 6.
| Wager / Metric | State DEP238 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP238 Banker (Super 6) | 45.8703% (-1.4106% EV) | 45.8732% | DEP238 4D 50% (7 Rank-6) |
| DEP238 Player (1:1) | 44.5879% (-1.2824% EV) | 44.5850% | DEP238 104-card 4D stub (0.9363 SD) |
| DEP238 Tie (8:1) | 9.5417% (-14.1243% EV) | 9.5418% | DEP238 Rank-6 (9 out, 7 in) |
Even at 50% penetration in DEP238 where 9 Rank-6 cards have exited a 4D shoe (7 left in 104 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.4106% EV, Super 6) or Player (-1.2824% 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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