Removing 4 of 32 Five-Pip Card (Rank-5) cards at 10% penetration of a 8-deck (416-card) shoe leaves 28 Rank-5 cards inside a 374-card stub (DEP406), producing 45.8593% Banker wins, 44.6251% Player wins, 9.5156% Ties, and a 1.0587% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP406 (8D Rank-5 at 10% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
4 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.
Resolved at 45.8593% Banker win rate under 5% settlement.
Resolved at 44.6251% Player win rate with 0.9320 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP406.
Quantitative proof DEP406 documents 8D rank depletion at 10% depth: 4 exited Rank-5 cards leave 28 of 32 in the 374-card stub, generating 45.8593% Banker wins (-1.0587% EV under 5% Vig) and 44.6251% Player wins.
When 4 Rank-5 cards exit a 8D shoe by 10% penetration (DEP406, 28 left in 374 cards), fewer 5s in the (dep406-rank-5) stub reduce banker third-card improvements (374c) from 3 to 8 and (dep406-rank-5·374c) from 4 to 9, combining a -0.84 bps rank vector with 5% settlement (-1.0587% Banker EV).
| Wager / Metric | State DEP406 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP406 Banker (5% Vig) | 45.8593% (-1.0587% EV) | 45.8597% | DEP406 8D 10% (28 Rank-5) |
| DEP406 Player (1:1) | 44.6251% (-1.2343% EV) | 44.6247% | DEP406 374-card 8D stub (0.9320 SD) |
| DEP406 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP406 Rank-5 (4 out, 28 in) |
Synthesizing DEP406 (8D at 10% depth, 28 Five-Pip Card cards left inside 374 stub cards): 5% rules produce a 1.0587% Banker edge, 1.2343% Player edge, 14.3597% Tie edge, and 0.9320 unit volatility.
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.