In head-to-head trial S350-0 across 210 deals (Player High-Tie, 1.2351% edge), Fibonacci records a -29u peak absorption-curve and 31.31% ruin probability on a 130-unit stack, whereas D'Alembert logs a -19u trough and 13.98% ruin under the 85-unit limit. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S350 (Fibonacci vs D'Alembert, Three-Shoe 15% Tie Density on Even-Money Player Wagers). 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 S350 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 210 hands.
Probability of exhausting the 130-unit bankroll under a 85-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 210 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 15.24% tie frequency (32 pushes) and 3.60u in vigorish friction.
Within discrete-time testbed S350-1, a 130-unit bankroll facing 210 coups of Player High-Tie (high-tie) and a 85-unit maximum wager maps 31.31% ruin (7.49u expected loss) on Fibonacci Negative Sequence versus 13.98% ruin (4.48u expected loss) on D'Alembert Pyramid.
In head-to-head trial S350-2 across 210 deals (Player High-Tie, 1.2351% edge), Fibonacci records a -29u peak stake-velocity and 31.31% ruin probability on a 130-unit stack, whereas D'Alembert logs a -19u trough and 13.98% ruin under the 85-unit limit.
| S350 cadence | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 210-Hand Ruin (130u) | 31.31% | 13.98% |
| Player High-Tie Hold (1.2351%) | 7.49u | 4.48u |
| 4-Run Trough (85u Cap) | -29u | -19u |
Within capital-bounded testbed S350-3, a 130-unit bankroll facing 210 coups of Player High-Tie (high-tie) and a 85-unit maximum wager charts 31.31% ruin (7.49u expected loss) on Fibonacci Negative Sequence versus 13.98% ruin (4.48u expected loss) on D'Alembert Pyramid.
In head-to-head trial S350-4 across 210 deals (Player High-Tie, 1.2351% edge), Fibonacci records a -29u peak drawdown-slope and 31.31% ruin probability on a 130-unit stack, whereas D'Alembert logs a -19u trough and 13.98% ruin under the 85-unit limit.
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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
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.