Removing 9 of 32 Nine-Pip Card (Rank-9) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-9 cards inside a 312-card stub (DEP443), producing 45.8594% Banker wins, 44.6250% Player wins, 9.5156% Ties, and a 1.0585% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP443 (8D Rank-9 at 25% 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 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.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 9-pip cards (top Natural 9 generator) removed from the 8D pack.
Resolved at 45.8594% Banker win rate under 5% settlement.
Resolved at 44.6250% Player win rate with 0.9347 unit standard deviation.
Produces a 14.3597% house hold on the 8-to-1 Tie wager in state DEP443.
Across 4,998,398,275,503,360 initial 8D permutations, depletion node DEP443 narrows to a 312-card stub (25% depth) holding 23 of 32 Rank-9 cards, where Banker resolves at 45.8594% (-1.0585% EV) and Player at 44.6250% (-1.2345% EV).
In six-card resolution tree DEP443 (8D at 25% depth, 312 cards left), when 9s are depleted (dep443-rank-9) late in the shoe, more (312c) hands bypass four-card natural resolution (dep443-rank-9·312c) and enter the five- and six-card tableau; removing 9 of 32 Rank-9 cards (-0.23 bps weight) leaves Banker at -1.0585% EV under 5%.
| Wager / Metric | State DEP443 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP443 Banker (5% Vig) | 45.8594% (-1.0585% EV) | 45.8597% | DEP443 8D 25% (23 Rank-9) |
| DEP443 Player (1:1) | 44.6250% (-1.2345% EV) | 44.6247% | DEP443 312-card 8D stub (0.9347 SD) |
| DEP443 Tie (8:1) | 9.5156% (-14.3597% EV) | 9.5156% | DEP443 Rank-9 (9 out, 23 in) |
Even at 25% penetration in DEP443 where 9 Rank-9 cards have exited a 8D shoe (23 left in 312 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0585% EV, 5% Vig) or Player (-1.2345% EV) is favored next.
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.