Removing 9 of 16 Nine-Pip Card (Rank-9) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-9 cards inside a 104-card stub (DEP265), producing 45.8726% Banker wins, 44.5856% Player wins, 9.5418% Ties, and a 1.4060% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP265 (4D Rank-9 at 50% 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.
50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
9 9-pip cards (top Natural 9 generator) removed from the 4D pack.
Resolved at 45.8726% Banker win rate under Super 6 settlement.
Resolved at 44.5856% Player win rate with 0.9372 unit standard deviation.
Produces a 14.1240% house hold on the 8-to-1 Tie wager in state DEP265.
Shoe-stub analysis DEP265 inspects 104 remaining cards at 50% penetration of a 208-card (4D) pack after 9 Nine-Pip Card cards have cleared, leaving 7 Rank-9 cards and a 1.4060% Super 6 Banker edge.
When 9s are depleted (DEP265-Rank-9) late in the shoe, more (104c) hands bypass four-card natural resolution (DEP265-Rank-9·104c) and enter the five- and six-card tableau. Because 9 of 16 Nine-Pip Card cards are absent in DEP265 at 50% 4D penetration (104 cards left), per-card sensitivity (-0.23 bps) interacts directly with mid-shoe 50% penetration depth (DEP265) under Super 6 no-commission rules (Rank-9) (winning Banker 6 pays 0.50:1) (DEP265·Rank-9).
| Wager / Metric | State DEP265 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP265 Banker (Super 6) | 45.8726% (-1.4060% EV) | 45.8732% | DEP265 4D 50% (7 Rank-9) |
| DEP265 Player (1:1) | 44.5856% (-1.2870% EV) | 44.5850% | DEP265 104-card 4D stub (0.9372 SD) |
| DEP265 Tie (8:1) | 9.5418% (-14.1240% EV) | 9.5418% | DEP265 Rank-9 (9 out, 7 in) |
On the electronic scoreboard for DEP265 (4D, 50% depth, 104 cards left), Bead Plate and Big Road circles record Banker (45.8726%) and Player (44.5856%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-9 card counts (7/16).
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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