Matchup S239-0 tabulates how a 160-unit roll and 100-unit pit maximum govern Labouchere versus Flat Betting during 288 hands of 4-Shoe Chop: variance-scaled excursion divergence pushes primary ruin to 28.87% against 9.92% for the benchmark while tabulates 4.63u 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 S239 (Labouchere vs Flat Betting, 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 S239 compares [1-2-3-2-1] outside sum against 1-1-1-1 constant unit 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 4.63u in vigorish friction.
During 288 deals of 4-Shoe Chop (chop) in audit S239-1, Labouchere Split-Line ([1-2-3-2-1] outside sum) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 27 tie pushes on a 160-unit roll with a 100-unit cap, models 28.87% vs 9.92% ruin and 4.63u in commission drag.
Matchup S239-2 measures how a 160-unit roll and 100-unit pit maximum govern Labouchere versus Flat Betting during 288 hands of 4-Shoe Chop: session-bounded turnover divergence pushes primary ruin to 28.87% against 9.92% for the benchmark while charts 4.63u in commission friction.
| S239 threshold | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 288-Hand Ruin (160u) | 28.87% | 9.92% |
| 4-Shoe Chop Hold (1.0579%) | 9.64u | 3.17u |
| 3-Run Trough (100u Cap) | -23u | -13u |
During 288 deals of 4-Shoe Chop (chop) in audit S239-3, Labouchere Split-Line ([1-2-3-2-1] outside sum) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 27 tie pushes on a 160-unit roll with a 100-unit cap, dissects 28.87% vs 9.92% ruin and 4.63u in commission drag.
Matchup S239-4 quantifies how a 160-unit roll and 100-unit pit maximum govern Labouchere versus Flat Betting during 288 hands of 4-Shoe Chop: finite-shoe decay-rate divergence pushes primary ruin to 28.87% against 9.92% for the benchmark while calibrates 4.63u 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.
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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.