Removing 3 of 24 Ace (1-Point Pip) (Ace-1) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Ace-1 cards inside a 281-card stub (DEP280), producing 45.8650% Banker wins, 44.5901% Player wins, 9.5449% Ties, and a 1.0184% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP280 (6D 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.
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.
10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 Ace cards valued at 1 modulo-10 point removed from the 6D pack.
Resolved at 45.8650% Banker win rate under 5% settlement.
Resolved at 44.5901% Player win rate with 0.9308 unit standard deviation.
Produces a 14.0959% house hold on the 8-to-1 Tie wager in state DEP280.
Quantitative proof DEP280 documents 6D rank depletion at 10% depth: 3 exited Ace-1 cards leave 21 of 24 in the 281-card stub, generating 45.8650% Banker wins (-1.0184% EV under 5% Vig) and 44.5901% Player wins.
Tracking DEP280 across 281 remaining 6D cards (10% depth) shows that when fewer aces remain, (dep280-ace-1) player 7 and 8 third-card (281c) transitions from 6 and 7 (dep280-ace-1·281c) occur less often during six-card resolutions. With 3 Ace-1 cards gone (+0.44 bps unit sensitivity), Banker expectation is -1.0184% (5% Vig) vs -1.2749% on Player.
| Wager / Metric | State DEP280 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP280 Banker (5% Vig) | 45.8650% (-1.0184% EV) | 45.8648% | DEP280 6D 10% (21 Ace-1) |
| DEP280 Player (1:1) | 44.5901% (-1.2749% EV) | 44.5903% | DEP280 281-card 6D stub (0.9308 SD) |
| DEP280 Tie (8:1) | 9.5449% (-14.0959% EV) | 9.5449% | DEP280 Ace-1 (3 out, 21 in) |
On the electronic scoreboard for DEP280 (6D, 10% depth, 281 cards left), Bead Plate and Big Road circles record Banker (45.8650%) and Player (44.5901%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Ace-1 card counts (21/24).
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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