Removing 5 of 16 Ace (1-Point Pip) (Ace-1) cards at 25% penetration of a 4-deck (208-card) shoe leaves 11 Ace-1 cards inside a 156-card stub (DEP191), producing 45.8737% Banker wins, 44.5845% Player wins, 9.5418% Ties, and a 1.0044% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP191 (4D Ace-1 at 25% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
5 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8737% Banker win rate under 5% settlement.
Resolved at 44.5845% Player win rate with 0.9323 unit standard deviation.
Produces a 14.1237% house hold on the 8-to-1 Tie wager in state DEP191.
Across 7,673,190,695,193,600 initial 4D permutations, depletion node DEP191 narrows to a 156-card stub (25% depth) holding 11 of 16 Ace-1 cards, where Banker resolves at 45.8737% (-1.0044% EV) and Player at 44.5845% (-1.2893% EV).
Tracking DEP191 across 156 remaining 4D cards (25% depth) shows that when fewer aces remain, (dep191-ace-1) player 7 and 8 third-card (156c) transitions from 6 and 7 (dep191-ace-1·156c) occur less often during six-card resolutions. With 5 Ace-1 cards gone (+0.44 bps unit sensitivity), Banker expectation is -1.0044% (5% Vig) vs -1.2893% on Player.
| Wager / Metric | State DEP191 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP191 Banker (5% Vig) | 45.8737% (-1.0044% EV) | 45.8732% | DEP191 4D 25% (11 Ace-1) |
| DEP191 Player (1:1) | 44.5845% (-1.2893% EV) | 44.5850% | DEP191 156-card 4D stub (0.9323 SD) |
| DEP191 Tie (8:1) | 9.5418% (-14.1237% EV) | 9.5418% | DEP191 Ace-1 (5 out, 11 in) |
While DEP191 tracks 5 removed Ace (1-Point Pip) cards across 25% of a 208-card (4D) shoe (156 remaining, 1.0044% 5% Vig edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.
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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