Removing 26 of 32 Three-Pip (Trey) (Rank-3) cards at 70% penetration of a 8-deck (416-card) shoe leaves 6 Rank-3 cards inside a 125-card stub (DEP393), producing 45.8624% Banker wins, 44.6219% Player wins, 9.5157% Ties, and a 1.0527% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP393 (8D Rank-3 at 70% 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.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
70% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
26 3-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8624% Banker win rate under 5% settlement.
Resolved at 44.6219% Player win rate with 0.9374 unit standard deviation.
Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP393.
Audit DEP393 evaluates a 8-deck (416-card) shoe at 70% penetration where 26 of 32 Three-Pip (Trey) cards have exited, leaving 6 Rank-3 cards inside the 125-card stub with Banker EV at -1.0527% under 5%.
Tableau audit DEP393 confirms that banker total 4 draws (dep393) on player third-card 3, and (8d-70%) banker total 5 stands on (dep393·8d-70%) player third-card 3, creating asymmetric sensitivity. Inside the 125-card 8D stub (70% depth, 6/32 Rank-3 remaining, +0.65 bps slope), standard deviation is 0.9374 under 5% Vig.
| Wager / Metric | State DEP393 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP393 Banker (5% Vig) | 45.8624% (-1.0527% EV) | 45.8597% | DEP393 8D 70% (6 Rank-3) |
| DEP393 Player (1:1) | 44.6219% (-1.2404% EV) | 44.6247% | DEP393 125-card 8D stub (0.9374 SD) |
| DEP393 Tie (8:1) | 9.5157% (-14.3589% EV) | 9.5156% | DEP393 Rank-3 (26 out, 6 in) |
Learners auditing DEP393 (8D at 70% depth, 6/32 Rank-3 in 125 stub cards) can verify that 5% house hold (1.0527% Banker, 1.2404% Player, 14.3589% Tie) operates independently of prior Big Road streaks.
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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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