Removing 1 of 4 Five-Pip Card (Rank-5) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Rank-5 cards inside a 47-card stub (DEP046), producing 45.9588% Banker wins, 44.5256% Player wins, 9.5156% Ties, and a 0.8648% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP046 (1D Rank-5 at 10% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
10% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.
Resolved at 45.9588% Banker win rate under 5% settlement.
Resolved at 44.5256% Player win rate with 0.9320 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP046.
Finite-shoe specification DEP046 tracks Rank-5 removal at 10% depth in 1-deck play: with 3 of 4 Five-Pip Card cards left in the 47-card stub, Tie incidence is 9.5156% and Banker expectation settles at -0.8648% (5% Vig).
Comparing initial 52-card 1D weights against stub DEP046 (47 cards, 10% depth, 3 Rank-5 left) illustrates how because player draws on (dep046) two-card 5 and stands on (1d-10%) 6, while banker 3, 4, (dep046·1d-10%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted (-0.84 bps slope, 0.8648% 5% Vig edge).
| Wager / Metric | State DEP046 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP046 Banker (5% Vig) | 45.9588% (-0.8648% EV) | 45.9595% | DEP046 1D 10% (3 Rank-5) |
| DEP046 Player (1:1) | 44.5256% (-1.4331% EV) | 44.5249% | DEP046 47-card 1D stub (0.9320 SD) |
| DEP046 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP046 Rank-5 (1 out, 3 in) |
On the electronic scoreboard for DEP046 (1D, 10% depth, 47 cards left), Bead Plate and Big Road circles record Banker (45.9588%) and Player (44.5256%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-5 card counts (3/4).
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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