Removing 5 of 16 Five-Pip Card (Rank-5) cards at 25% penetration of a 4-deck (208-card) shoe leaves 11 Rank-5 cards inside a 156-card stub (DEP227), producing 45.8722% Banker wins, 44.5860% Player wins, 9.5418% Ties, and a 1.0075% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP227 (4D Rank-5 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 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.
25% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
5 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.
Resolved at 45.8722% Banker win rate under 5% settlement.
Resolved at 44.5860% Player win rate with 0.9335 unit standard deviation.
Produces a 14.1240% house hold on the 8-to-1 Tie wager in state DEP227.
When a 4D shoe reaches 25% cut-card depth (156 of 208 cards undealt, state DEP227) with 5 Five-Pip Card cards removed and 11 remaining, Player wins 44.5860% (1.2861% edge) while Banker wins 45.8722% (1.0075% edge under 5%).
In six-card resolution tree DEP227 (4D at 25% depth, 156 cards left), fewer 5s in the (dep227-rank-5) stub reduce banker third-card improvements (156c) from 3 to 8 and (dep227-rank-5·156c) from 4 to 9; removing 5 of 16 Rank-5 cards (-0.84 bps weight) leaves Banker at -1.0075% EV under 5%.
| Wager / Metric | State DEP227 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP227 Banker (5% Vig) | 45.8722% (-1.0075% EV) | 45.8732% | DEP227 4D 25% (11 Rank-5) |
| DEP227 Player (1:1) | 44.5860% (-1.2861% EV) | 44.5850% | DEP227 156-card 4D stub (0.9335 SD) |
| DEP227 Tie (8:1) | 9.5418% (-14.1240% EV) | 9.5418% | DEP227 Rank-5 (5 out, 11 in) |
Scoreboard literacy in DEP227 separates two independent concepts: 4D card-removal math (11 Rank-5 left in 156 cards at 25% depth, 0.9335 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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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