Removing 4 of 8 Three-Pip (Trey) (Rank-3) cards at 40% penetration of a 2-deck (104-card) shoe leaves 4 Rank-3 cards inside a 62-card stub (DEP120), producing 45.9012% Banker wins, 44.5662% Player wins, 9.5326% Ties, and a 0.5010% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP120 (2D Rank-3 at 40% 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 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.
40% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
4 3-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9012% Banker win rate under 4% settlement.
Resolved at 44.5662% Player win rate with 0.9344 unit standard deviation.
Produces a 14.2062% house hold on the 8-to-1 Tie wager in state DEP120.
Within double-deck European salon privé carriers and two-deck shoe pits, profile DEP120 examines 40% shoe depletion (62 of 104 cards remaining) after 4 Rank-3 cards exit, leaving 4 Three-Pip (Trey) cards and a 0.5010% Banker house hold under 4%.
In 2D audit DEP120 (62/104 stub at 40% depth), each removed 3-pip card (dep120-rank-3) modifies the boundary between banker (62c) standing on 5 and drawing (dep120-rank-3·62c) against mid-range player pulls. Removing 4 Rank-3 cards (+0.65 bps per card) alongside 4% Vig rules sets Tie hold to 14.2062% (9.5326% frequency).
| Wager / Metric | State DEP120 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP120 Banker (4% Vig) | 45.9012% (-0.5010% EV) | 45.8998% | DEP120 2D 40% (4 Rank-3) |
| DEP120 Player (1:1) | 44.5662% (-1.3350% EV) | 44.5676% | DEP120 62-card 2D stub (0.9344 SD) |
| DEP120 Tie (8:1) | 9.5326% (-14.2062% EV) | 9.5326% | DEP120 Rank-3 (4 out, 4 in) |
Across 100-hand session horizons at state DEP120 (2D 40% depth, 4/8 Rank-3 in 62 cards), single-hand dispersion (0.9344 SD) dominates the 0.5010% (4% Vig) Banker and 1.3350% Player expectation gap.
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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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