Removing 13 of 16 Ace (1-Point Pip) (Ace-1) cards at 70% penetration of a 4-deck (208-card) shoe leaves 3 Ace-1 cards inside a 62-card stub (DEP195), producing 45.8750% Banker wins, 44.5831% Player wins, 9.5418% Ties, and a 1.0019% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP195 (4D Ace-1 at 70% 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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
13 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8750% Banker win rate under 5% settlement.
Resolved at 44.5831% Player win rate with 0.9368 unit standard deviation.
Produces a 14.1234% house hold on the 8-to-1 Tie wager in state DEP195.
Shoe-stub analysis DEP195 inspects 62 remaining cards at 70% penetration of a 208-card (4D) pack after 13 Ace (1-Point Pip) cards have cleared, leaving 3 Ace-1 cards and a 1.0019% 5% Banker edge.
When 13 Ace-1 cards exit a 4D shoe by 70% penetration (DEP195, 3 left in 62 cards), when fewer aces remain, (dep195-ace-1) player 7 and 8 third-card (62c) transitions from 6 and 7 (dep195-ace-1·62c) occur less often during six-card resolutions, combining a +0.44 bps rank vector with 5% settlement (-1.0019% Banker EV).
| Wager / Metric | State DEP195 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP195 Banker (5% Vig) | 45.8750% (-1.0019% EV) | 45.8732% | DEP195 4D 70% (3 Ace-1) |
| DEP195 Player (1:1) | 44.5831% (-1.2919% EV) | 44.5850% | DEP195 62-card 4D stub (0.9368 SD) |
| DEP195 Tie (8:1) | 9.5418% (-14.1234% EV) | 9.5418% | DEP195 Ace-1 (13 out, 3 in) |
Across 100-hand session horizons at state DEP195 (4D 70% depth, 3/16 Ace-1 in 62 cards), single-hand dispersion (0.9368 SD) dominates the 1.0019% (5% Vig) Banker and 1.2919% 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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