Removing 4 of 32 Nine-Pip Card (Rank-9) cards at 10% penetration of a 8-deck (416-card) shoe leaves 28 Rank-9 cards inside a 374-card stub (DEP442), producing 45.8596% Banker wins, 44.6248% Player wins, 9.5156% Ties, and a 1.0582% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP442 (8D Rank-9 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.
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.
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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
4 9-pip cards (top Natural 9 generator) removed from the 8D pack.
Resolved at 45.8596% Banker win rate under 5% settlement.
Resolved at 44.6248% Player win rate with 0.9332 unit standard deviation.
Produces a 14.3596% house hold on the 8-to-1 Tie wager in state DEP442.
Within eight-deck Macau, Las Vegas Strip, and Singapore standard shoes, profile DEP442 examines 10% shoe depletion (374 of 416 cards remaining) after 4 Rank-9 cards exit, leaving 28 Nine-Pip Card cards and a 1.0582% Banker house hold under 5%.
Comparing initial 416-card 8D weights against stub DEP442 (374 cards, 10% depth, 28 Rank-9 left) illustrates how rank 9 paired with (dep442) any ten or face card (8d-10%) creates an unbeatable two-card natural (dep442·8d-10%) 9 that halts all third-card drawing on both sides (-0.23 bps slope, 1.0582% 5% Vig edge).
| Wager / Metric | State DEP442 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP442 Banker (5% Vig) | 45.8596% (-1.0582% EV) | 45.8597% | DEP442 8D 10% (28 Rank-9) |
| DEP442 Player (1:1) | 44.6248% (-1.2348% EV) | 44.6247% | DEP442 374-card 8D stub (0.9332 SD) |
| DEP442 Tie (8:1) | 9.5156% (-14.3596% EV) | 9.5156% | DEP442 Rank-9 (4 out, 28 in) |
For DEP442 (374 remaining cards in a 416-card 8D shoe at 10% depth), tracking all 4 exited Rank-9 cards moves Banker win rate to 45.8596% (-1.0582% EV, 5% Vig) and Player to 44.6248% (-1.2348% EV).
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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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