Removing 14 of 16 Ace (1-Point Pip) (Ace-1) cards at 75% penetration of a 4-deck (208-card) shoe leaves 2 Ace-1 cards inside a 52-card stub (DEP196), producing 45.8752% Banker wins, 44.5830% Player wins, 9.5418% Ties, and a 0.5428% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP196 (4D Ace-1 at 75% 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.
75% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
14 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8752% Banker win rate under 4% settlement.
Resolved at 44.5830% Player win rate with 0.9373 unit standard deviation.
Produces a 14.1234% house hold on the 8-to-1 Tie wager in state DEP196.
Quantitative proof DEP196 documents 4D rank depletion at 75% depth: 14 exited Ace-1 cards leave 2 of 16 in the 52-card stub, generating 45.8752% Banker wins (-0.5428% EV under 4% Vig) and 44.5830% Player wins.
Tableau audit DEP196 confirms that removing aces slightly favors (dep196) banker because banker stands on (4d-75%) 6 against player third-card ace (dep196·4d-75%) while player must draw on 0–5. Inside the 52-card 4D stub (75% depth, 2/16 Ace-1 remaining, +0.44 bps slope), standard deviation is 0.9373 under 4% Vig.
| Wager / Metric | State DEP196 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP196 Banker (4% Vig) | 45.8752% (-0.5428% EV) | 45.8732% | DEP196 4D 75% (2 Ace-1) |
| DEP196 Player (1:1) | 44.5830% (-1.2922% EV) | 44.5850% | DEP196 52-card 4D stub (0.9373 SD) |
| DEP196 Tie (8:1) | 9.5418% (-14.1234% EV) | 9.5418% | DEP196 Ace-1 (14 out, 2 in) |
On the electronic scoreboard for DEP196 (4D, 75% depth, 52 cards left), Bead Plate and Big Road circles record Banker (45.8752%) and Player (44.5830%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Ace-1 card counts (2/16).
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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.