In finite-shoe comparative trial S204-0, running D'Alembert against Flat Betting for 80 hands of No-Comm High-Tie (high-tie) on 85 units profiles 2.34u vs 1.21u in expected toll and 13.93% vs 5.73% ruin under a 60-unit pit limit. 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 S204 (D'Alembert 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 S204 compares +1 on loss / -1 on win 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 1.45u in vigorish friction.
Under No-Comm High-Tie (1.4579% effective edge), commission-adjusted stress run S204-1 over 80 hands and a 85-unit treasury verifies a -26u drawdown (13.93% ruin) for D'Alembert Pyramid against -16u (5.73% ruin) for Flat 1-Unit Baseline inside a 60-unit cap.
In multi-coup comparative trial S204-2, running D'Alembert against Flat Betting for 80 hands of No-Comm High-Tie (high-tie) on 85 units benchmarks 2.34u vs 1.21u in expected toll and 13.93% vs 5.73% ruin under a 60-unit pit limit.
| S204 drawdown-slope | D'Alembert | Flat Betting |
|---|---|---|
| D'Alembert / Flat Betting Rule | +1 on loss / -1 on win | 1-1-1-1 constant unit |
| 80-Hand Ruin (85u) | 13.93% | 5.73% |
| No-Comm High-Tie Hold (1.4579%) | 2.34u | 1.21u |
| 5-Run Trough (60u Cap) | -26u | -16u |
Under No-Comm High-Tie (1.4579% effective edge), discrete-time stress run S204-3 over 80 hands and a 85-unit treasury tracks a -26u drawdown (13.93% ruin) for D'Alembert Pyramid against -16u (5.73% ruin) for Flat 1-Unit Baseline inside a 60-unit cap.
In drawdown-weighted comparative trial S204-4, running D'Alembert against Flat Betting for 80 hands of No-Comm High-Tie (high-tie) on 85 units calibrates 2.34u vs 1.21u in expected toll and 13.93% vs 5.73% ruin under a 60-unit pit limit.
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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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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.
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