Removing 1 of 4 Nine-Pip Card (Rank-9) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Rank-9 cards inside a 47-card stub (DEP082), producing 45.9593% Banker wins, 44.5251% Player wins, 9.5156% Ties, and a 0.8638% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP082 (1D Rank-9 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
10% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9593% Banker win rate under 5% settlement.
Resolved at 44.5251% Player win rate with 0.9332 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP082.
Exact conditional enumeration DEP082 for a 1D shoe at 10% depth (47/52 cards undealt) with 3 remaining Rank-9 cards confirms a 0.8638% Banker edge (5% Vig), 1.4342% Player edge, and 14.3597% Tie edge.
Comparing initial 52-card 1D weights against stub DEP082 (47 cards, 10% depth, 3 Rank-9 left) illustrates how rank 9 paired with (dep082) any ten or face card (1d-10%) creates an unbeatable two-card natural (dep082·1d-10%) 9 that halts all third-card drawing on both sides (-0.23 bps slope, 0.8638% 5% Vig edge).
| Wager / Metric | State DEP082 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP082 Banker (5% Vig) | 45.9593% (-0.8638% EV) | 45.9595% | DEP082 1D 10% (3 Rank-9) |
| DEP082 Player (1:1) | 44.5251% (-1.4342% EV) | 44.5249% | DEP082 47-card 1D stub (0.9332 SD) |
| DEP082 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP082 Rank-9 (1 out, 3 in) |
Scoreboard literacy in DEP082 separates two independent concepts: 1D card-removal math (3 Rank-9 left in 47 cards at 10% depth, 0.9332 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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