Removing 14 of 16 Two-Pip (Deuce) (Rank-2) cards at 75% penetration of a 4-deck (208-card) shoe leaves 2 Rank-2 cards inside a 52-card stub (DEP205), producing 45.8756% Banker wins, 44.5825% Player wins, 9.5419% Ties, and a 0.5420% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP205 (4D Rank-2 at 75% 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.
75% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
14 2-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8756% Banker win rate under 4% settlement.
Resolved at 44.5825% Player win rate with 0.9376 unit standard deviation.
Produces a 14.1230% house hold on the 8-to-1 Tie wager in state DEP205.
Across 7,673,190,695,193,600 initial 4D permutations, depletion node DEP205 narrows to a 52-card stub (75% depth) holding 2 of 16 Rank-2 cards, where Banker resolves at 45.8756% (-0.5420% EV) and Player at 44.5825% (-1.2930% EV).
In six-card resolution tree DEP205 (4D at 75% depth, 52 cards left), depleting 2s shifts the (dep205-rank-2) probability of banker converting a (52c) two-card 4 or 5 into (dep205-rank-2·52c) a winning three-card 6 or 7; removing 14 of 16 Rank-2 cards (+0.52 bps weight) leaves Banker at -0.5420% EV under 4%.
| Wager / Metric | State DEP205 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP205 Banker (4% Vig) | 45.8756% (-0.5420% EV) | 45.8732% | DEP205 4D 75% (2 Rank-2) |
| DEP205 Player (1:1) | 44.5825% (-1.2930% EV) | 44.5850% | DEP205 52-card 4D stub (0.9376 SD) |
| DEP205 Tie (8:1) | 9.5419% (-14.1230% EV) | 9.5418% | DEP205 Rank-2 (14 out, 2 in) |
On the electronic scoreboard for DEP205 (4D, 75% depth, 52 cards left), Bead Plate and Big Road circles record Banker (45.8756%) and Player (44.5825%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-2 card counts (2/16).
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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