Removing 1 of 4 Ace (1-Point Pip) (Ace-1) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Ace-1 cards inside a 47-card stub (DEP010), producing 45.9599% Banker wins, 44.5245% Player wins, 9.5156% Ties, and a 0.8626% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP010 (1D Ace-1 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.
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.
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 Ace cards valued at 1 modulo-10 point removed from the 1D pack.
Resolved at 45.9599% Banker win rate under 5% settlement.
Resolved at 44.5245% Player win rate with 0.9308 unit standard deviation.
Produces a 14.3595% house hold on the 8-to-1 Tie wager in state DEP010.
Depletion matrix entry DEP010 pairs 1D (52 cards) at 10% penetration with 1 removed Ace (1-Point Pip) cards (3 left in 47 cards), fixing per-hand volatility at 0.9308 and Banker house hold at 0.8626% (5% Vig).
When 1 Ace-1 cards exit a 1D shoe by 10% penetration (DEP010, 3 left in 47 cards), when fewer aces remain, (dep010-ace-1) player 7 and 8 third-card (47c) transitions from 6 and 7 (dep010-ace-1·47c) occur less often during six-card resolutions, combining a +0.44 bps rank vector with 5% settlement (-0.8626% Banker EV).
| Wager / Metric | State DEP010 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP010 Banker (5% Vig) | 45.9599% (-0.8626% EV) | 45.9595% | DEP010 1D 10% (3 Ace-1) |
| DEP010 Player (1:1) | 44.5245% (-1.4354% EV) | 44.5249% | DEP010 47-card 1D stub (0.9308 SD) |
| DEP010 Tie (8:1) | 9.5156% (-14.3595% EV) | 9.5156% | DEP010 Ace-1 (1 out, 3 in) |
While DEP010 tracks 1 removed Ace (1-Point Pip) cards across 10% of a 52-card (1D) shoe (47 remaining, 0.8626% 5% Vig edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.
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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