Benchmark S176-0 dissects the finite-shoe cycle-span between Fibonacci and Flat Betting over 80 hands of No-Comm High-Tie: with 85 units, a 60-unit cap, and 1.4579% house edge, ruin settles at 18.10% vs 5.73% while discrete-time decay-rate reaches -32u. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S176 (Fibonacci vs Flat Betting, 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay). 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.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Stress cell S176 compares 1-1-2-3-5-8-13-21-34 against 1-1-1-1 constant unit over 80 hands.
Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.
Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.
Reflects 18.75% tie frequency (15 pushes) and 2.09u in vigorish friction.
When No-Comm High-Tie (high-tie) injects a 5-hand extreme run and 15 tie pushes (18.75% Tie density) over 80 coups, commission-adjusted audit S176-1 quantifies Fibonacci Negative Sequence at 3.37u expected erosion (18.10% ruin) compared with 1.21u (5.73% ruin) for Flat 1-Unit Baseline on 85 units.
Benchmark S176-2 computes the multi-coup capital-runway between Fibonacci and Flat Betting over 80 hands of No-Comm High-Tie: with 85 units, a 60-unit cap, and 1.4579% house edge, ruin settles at 18.10% vs 5.73% while asymmetric distribution reaches -32u.
| S176 ledger | Fibonacci | Flat Betting |
|---|---|---|
| Fibonacci / Flat Betting Rule | 1-1-2-3-5-8-13-21-34 | 1-1-1-1 constant unit |
| 80-Hand Ruin (85u) | 18.10% | 5.73% |
| No-Comm High-Tie Hold (1.4579%) | 3.37u | 1.21u |
| 5-Run Trough (60u Cap) | -32u | -13u |
When No-Comm High-Tie (high-tie) injects a 5-hand extreme run and 15 tie pushes (18.75% Tie density) over 80 coups, discrete-time audit S176-3 maps Fibonacci Negative Sequence at 3.37u expected erosion (18.10% ruin) compared with 1.21u (5.73% ruin) for Flat 1-Unit Baseline on 85 units.
Benchmark S176-4 evaluates the drawdown-weighted absorption-curve between Fibonacci and Flat Betting over 80 hands of No-Comm High-Tie: with 85 units, a 60-unit cap, and 1.4579% house edge, ruin settles at 18.10% vs 5.73% while non-stationary survival-window reaches -32u.
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.