Matchup S117-0 audits how a 75-unit roll and 50-unit pit maximum govern Grand Martingale versus Flat Betting during 78 hands of 5% Comm High-Tie: asymmetric footprint divergence pushes primary ruin to 34.75% against 5.52% for the benchmark while models 2.56u in commission friction. 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 S117 (Grand Martingale vs Flat Betting, 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 S117 compares 1-3-7-15-31-63-127 against 1-1-1-1 constant unit 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 2.56u in vigorish friction.
During 78 deals of 5% Comm High-Tie (high-tie) in audit S117-1, Grand Martingale (2x+1) (1-3-7-15-31-63-127) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 13 tie pushes on a 75-unit roll with a 50-unit cap, profiles 34.75% vs 5.52% ruin and 2.56u in commission drag.
Matchup S117-2 verifies how a 75-unit roll and 50-unit pit maximum govern Grand Martingale versus Flat Betting during 78 hands of 5% Comm High-Tie: commission-adjusted cadence divergence pushes primary ruin to 34.75% against 5.52% for the benchmark while inspects 2.56u in commission friction.
| S117 capital-runway | Grand Martingale | Flat Betting |
|---|---|---|
| Grand Martingale / Flat Betting Rule | 1-3-7-15-31-63-127 | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 34.75% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 5.34u | 0.86u |
| 4-Run Trough (50u Cap) | -40u | -13u |
During 78 deals of 5% Comm High-Tie (high-tie) in audit S117-3, Grand Martingale (2x+1) (1-3-7-15-31-63-127) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 13 tie pushes on a 75-unit roll with a 50-unit cap, benchmarks 34.75% vs 5.52% ruin and 2.56u in commission drag.
Matchup S117-4 tracks how a 75-unit roll and 50-unit pit maximum govern Grand Martingale versus Flat Betting during 78 hands of 5% Comm High-Tie: discrete-time escalation divergence pushes primary ruin to 34.75% against 5.52% for the benchmark while tabulates 2.56u in commission friction.
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.