Removing 9 of 32 Three-Pip (Trey) (Rank-3) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-3 cards inside a 312-card stub (DEP389), producing 45.8604% Banker wins, 44.6240% Player wins, 9.5156% Ties, and a 1.0566% Banker house edge under 5%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP389 (8D Rank-3 at 25% depth).
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.
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.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 3-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8604% Banker win rate under 5% settlement.
Resolved at 44.6240% Player win rate with 0.9329 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP389.
Removing 9 of 32 Rank-3 cards by the 25% mark of a 8-deck shoe (DEP389, 312 cards left) leaves 23 Three-Pip (Trey) cards and adjusts conditional probabilities to 45.8604% Banker, 44.6240% Player, and 9.5156% Tie under 5%.
Comparing initial 416-card 8D weights against stub DEP389 (312 cards, 25% depth, 23 Rank-3 left) illustrates how banker total 4 draws (dep389) on player third-card 3, and (8d-25%) banker total 5 stands on (dep389·8d-25%) player third-card 3, creating asymmetric sensitivity (+0.65 bps slope, 1.0566% 5% Vig edge).
| Wager / Metric | State DEP389 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP389 Banker (5% Vig) | 45.8604% (-1.0566% EV) | 45.8597% | DEP389 8D 25% (23 Rank-3) |
| DEP389 Player (1:1) | 44.6240% (-1.2364% EV) | 44.6247% | DEP389 312-card 8D stub (0.9329 SD) |
| DEP389 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP389 Rank-3 (9 out, 23 in) |
Even at 25% penetration in DEP389 where 9 Rank-3 cards have exited a 8D shoe (23 left in 312 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0566% EV, 5% Vig) or Player (-1.2364% 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.
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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