Evaluating Fibonacci vs D'Alembert in scenario S341-0 (78 hands, 75u stack, 50u table limit) tracks how 13 tie stalls (16.67%) and a 4-coup run shape asymmetric turnover, yielding 20.78% vs 8.87% 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 S341 (Fibonacci vs D'Alembert, 16% High-Tie Cluster Shoe under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
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.
Stress cell S341 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 78 hands.
Probability of exhausting the 75-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 78 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 16.67% tie frequency (13 pushes) and 1.14u in vigorish friction.
Stress test S341-1 calibrates Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) against D'Alembert Pyramid (+1 on loss / -1 on win) inside a 75-unit bankroll over 78 hands (5% Comm High-Tie, high-tie), where a 50-unit table ceiling produces 20.78% vs 8.87% ruin rates and documents 1.14u in finite-shoe vigorish drag.
Evaluating Fibonacci vs D'Alembert in scenario S341-2 (78 hands, 75u stack, 50u table limit) tabulates how 13 tie stalls (16.67%) and a 4-coup run shape commission-adjusted decay-rate, yielding 20.78% vs 8.87% ruin.
| S341 escalation | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 78-Hand Ruin (75u) | 20.78% | 8.87% |
| 5% Comm High-Tie Hold (1.0579%) | 2.38u | 1.42u |
| 4-Run Trough (50u Cap) | -26u | -15u |
Stress test S341-3 models Fibonacci Negative Sequence (1-1-2-3-5-8-13-21-34) against D'Alembert Pyramid (+1 on loss / -1 on win) inside a 75-unit bankroll over 78 hands (5% Comm High-Tie, high-tie), where a 50-unit table ceiling produces 20.78% vs 8.87% ruin rates and models 1.14u in multi-coup vigorish drag.
Evaluating Fibonacci vs D'Alembert in scenario S341-4 (78 hands, 75u stack, 50u table limit) measures how 13 tie stalls (16.67%) and a 4-coup run shape discrete-time threshold, yielding 20.78% vs 8.87% 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.
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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.