Removing 5 of 8 Five-Pip Card (Rank-5) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-5 cards inside a 52-card stub (DEP139), producing 45.8974% Banker wins, 44.5700% Player wins, 9.5325% Ties, and a 1.3656% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP139 (2D Rank-5 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
5 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.
Resolved at 45.8974% Banker win rate under Super 6 settlement.
Resolved at 44.5700% Player win rate with 0.9360 unit standard deviation.
Produces a 14.2071% house hold on the 8-to-1 Tie wager in state DEP139.
Shoe-stub analysis DEP139 inspects 52 remaining cards at 50% penetration of a 104-card (2D) pack after 5 Five-Pip Card cards have cleared, leaving 3 Rank-5 cards and a 1.3656% Super 6 Banker edge.
Because fewer 5s in the (dep139-rank-5) stub reduce banker third-card improvements (52c) from 3 to 8 and (dep139-rank-5·52c) from 4 to 9, state DEP139 (50% 2D depth, 5 Rank-5 removed, 3 in 52 cards) registers a -0.84 bps rank derivative and 1.3656% Banker house edge (Super 6).
| Wager / Metric | State DEP139 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP139 Banker (Super 6) | 45.8974% (-1.3656% EV) | 45.8998% | DEP139 2D 50% (3 Rank-5) |
| DEP139 Player (1:1) | 44.5700% (-1.3274% EV) | 44.5676% | DEP139 52-card 2D stub (0.9360 SD) |
| DEP139 Tie (8:1) | 9.5325% (-14.2071% EV) | 9.5326% | DEP139 Rank-5 (5 out, 3 in) |
Even at 50% penetration in DEP139 where 5 Rank-5 cards have exited a 2D shoe (3 left in 52 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.3656% EV, Super 6) or Player (-1.3274% EV) is favored next.
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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