During 78 deals of 5% Comm High-Tie (high-tie) in audit S215-0, Contra D'Alembert Press (+1 on win / -1 on loss) 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, tabulates 14.74% vs 5.52% ruin and 0.69u in commission drag. 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 S215 (Contra D'Alembert 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 S215 compares +1 on win / -1 on loss 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 0.69u in vigorish friction.
Matchup S215-1 models how a 75-unit roll and 50-unit pit maximum govern Contra D'Alembert versus Flat Betting during 78 hands of 5% Comm High-Tie: finite-shoe volatility-band divergence pushes primary ruin to 14.74% against 5.52% for the benchmark while quantifies 0.69u in commission friction.
During 78 deals of 5% Comm High-Tie (high-tie) in audit S215-2, Contra D'Alembert Press (+1 on win / -1 on loss) 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, measures 14.74% vs 5.52% ruin and 0.69u in commission drag.
| S215 turnover | Contra D'Alembert | Flat Betting |
|---|---|---|
| Contra D'Alembert / Flat Betting Rule | +1 on win / -1 on loss | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 14.74% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 1.44u | 0.86u |
| 4-Run Trough (50u Cap) | -21u | -16u |
Matchup S215-3 dissects how a 75-unit roll and 50-unit pit maximum govern Contra D'Alembert versus Flat Betting during 78 hands of 5% Comm High-Tie: multi-coup survival-window divergence pushes primary ruin to 14.74% against 5.52% for the benchmark while profiles 0.69u in commission friction.
During 78 deals of 5% Comm High-Tie (high-tie) in audit S215-4, Contra D'Alembert Press (+1 on win / -1 on loss) 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, quantifies 14.74% vs 5.52% ruin and 0.69u in commission drag.
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.