Head-to-head matrix S351-0 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and D'Alembert (+1 on loss / -1 on win) to 288 hands of 4-Shoe Chop (chop) with 160 units and a 100-unit roof, measures 8.80u versus 5.26u in mathematical house hold and 28.39% versus 15.70% ruin. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S351 (Fibonacci vs D'Alembert, Four-Shoe Alternating Sawtooth under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
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.
Stress cell S351 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 288 hands.
Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.38% tie frequency (27 pushes) and 4.22u in vigorish friction.
Combinatorial stress ledger S351-1 dissects Fibonacci Negative Sequence versus D'Alembert Pyramid across 288 coups (160u bankroll, 100u max bet), demonstrating that 1.0579% house edge and 3-hand runs enforce 28.39% vs 15.70% ruin along the combinatorial ledger.
Head-to-head matrix S351-2 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and D'Alembert (+1 on loss / -1 on win) to 288 hands of 4-Shoe Chop (chop) with 160 units and a 100-unit roof, quantifies 8.80u versus 5.26u in mathematical house hold and 28.39% versus 15.70% ruin.
| S351 dispersion | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 288-Hand Ruin (160u) | 28.39% | 15.70% |
| 4-Shoe Chop Hold (1.0579%) | 8.80u | 5.26u |
| 3-Run Trough (100u Cap) | -26u | -13u |
Combinatorial stress ledger S351-3 computes Fibonacci Negative Sequence versus D'Alembert Pyramid across 288 coups (160u bankroll, 100u max bet), demonstrating that 1.0579% house edge and 3-hand runs enforce 28.39% vs 15.70% ruin along the asymmetric excursion.
Head-to-head matrix S351-4 subjects Fibonacci (1-1-2-3-5-8-13-21-34) and D'Alembert (+1 on loss / -1 on win) to 288 hands of 4-Shoe Chop (chop) with 160 units and a 100-unit roof, maps 8.80u versus 5.26u in mathematical house hold and 28.39% versus 15.70% ruin.
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.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.