Removing 9 of 32 Seven-Pip Card (Rank-7) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-7 cards inside a 312-card stub (DEP425), producing 45.8588% Banker wins, 44.6256% Player wins, 9.5156% Ties, and a 1.0598% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP425 (8D Rank-7 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 8D pack.
Resolved at 45.8588% Banker win rate under 5% settlement.
Resolved at 44.6256% Player win rate with 0.9341 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP425.
At 25% penetration of a 416-card (8D) shoe, state DEP425 isolates 9 dealt Rank-7 cards (23 remaining inside 312 stub cards), yielding 45.8588% Banker wins, 44.6256% Player wins, and 0.9341 per-hand standard deviation under 5%.
For DEP425 (8-deck shoe, 25% dealt), player stands pat on (dep425) two-card 7, and a player (8d-25%) third-card 7 is the highest (dep425·8d-25%) card that forces banker 4, 5, and 6 to draw. Holding 23 of 32 Rank-7 cards in a 312-card stub with -0.83 bps rank slope yields 45.8588% Banker, 44.6256% Player, and 9.5156% Tie.
| Wager / Metric | State DEP425 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP425 Banker (5% Vig) | 45.8588% (-1.0598% EV) | 45.8597% | DEP425 8D 25% (23 Rank-7) |
| DEP425 Player (1:1) | 44.6256% (-1.2332% EV) | 44.6247% | DEP425 312-card 8D stub (0.9341 SD) |
| DEP425 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP425 Rank-7 (9 out, 23 in) |
On the electronic scoreboard for DEP425 (8D, 25% depth, 312 cards left), Bead Plate and Big Road circles record Banker (45.8588%) and Player (44.6256%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-7 card counts (23/32).
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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