Removing 5 of 8 Eight-Pip Card (Rank-8) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-8 cards inside a 52-card stub (DEP166), producing 45.8984% Banker wins, 44.5691% Player wins, 9.5325% Ties, and a 1.3637% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP166 (2D Rank-8 at 50% 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.
50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
5 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8984% Banker win rate under Super 6 settlement.
Resolved at 44.5691% Player win rate with 0.9369 unit standard deviation.
Produces a 14.2071% house hold on the 8-to-1 Tie wager in state DEP166.
Exact conditional enumeration DEP166 for a 2D shoe at 50% depth (52/104 cards undealt) with 3 remaining Rank-8 cards confirms a 1.3637% Banker edge (Super 6), 1.3293% Player edge, and 14.2071% Tie edge.
Under the fixed third-card tableau for DEP166, on banker total 3, (dep166) banker draws against every player (2d-50%) third card except 8; removing (dep166·2d-50%) 8s eliminates banker 3's sole standing exception. With 3 Rank-8 cards inside 52 remaining 2D cards (50% dealt), single-card slope (-0.50 bps) keeps Banker house edge at 1.3637% and Player at 1.3293%.
| Wager / Metric | State DEP166 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP166 Banker (Super 6) | 45.8984% (-1.3637% EV) | 45.8998% | DEP166 2D 50% (3 Rank-8) |
| DEP166 Player (1:1) | 44.5691% (-1.3293% EV) | 44.5676% | DEP166 52-card 2D stub (0.9369 SD) |
| DEP166 Tie (8:1) | 9.5325% (-14.2071% EV) | 9.5326% | DEP166 Rank-8 (5 out, 3 in) |
On the electronic scoreboard for DEP166 (2D, 50% depth, 52 cards left), Bead Plate and Big Road circles record Banker (45.8984%) and Player (44.5691%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-8 card counts (3/8).
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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