Benchmark S203-0 tracks the sequential distribution between D'Alembert and Flat Betting over 74 hands of No-Comm Streak: with 90 units, a 65-unit cap, and 1.4579% house edge, ruin settles at 9.40% vs 4.92% while non-stationary decay-rate reaches -41u. 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 S203 (D'Alembert vs Flat Betting, 11-Hand Banker Run 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S203 compares +1 on loss / -1 on win against 1-1-1-1 constant unit over 74 hands.
Probability of exhausting the 90-unit bankroll under a 65-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 74 coups.
Deepest unit trough triggered by a 11-hand run inside the streak shoe profile.
Reflects 8.11% tie frequency (6 pushes) and 1.35u in vigorish friction.
When No-Comm Streak (streak) injects a 11-hand extreme run and 6 tie pushes (8.11% Tie density) over 74 coups, bankroll-constrained audit S203-1 calibrates D'Alembert Pyramid at 2.17u expected erosion (9.40% ruin) compared with 1.12u (4.92% ruin) for Flat 1-Unit Baseline on 90 units.
Benchmark S203-2 tabulates the stochastic envelope between D'Alembert and Flat Betting over 74 hands of No-Comm Streak: with 90 units, a 65-unit cap, and 1.4579% house edge, ruin settles at 9.40% vs 4.92% while house-edge-anchored distribution reaches -41u.
| S203 trajectory | D'Alembert | Flat Betting |
|---|---|---|
| D'Alembert / Flat Betting Rule | +1 on loss / -1 on win | 1-1-1-1 constant unit |
| 74-Hand Ruin (90u) | 9.40% | 4.92% |
| No-Comm Streak Hold (1.4579%) | 2.17u | 1.12u |
| 11-Run Trough (65u Cap) | -41u | -22u |
When No-Comm Streak (streak) injects a 11-hand extreme run and 6 tie pushes (8.11% Tie density) over 74 coups, absorbing-barrier audit S203-3 models D'Alembert Pyramid at 2.17u expected erosion (9.40% ruin) compared with 1.12u (4.92% ruin) for Flat 1-Unit Baseline on 90 units.
Benchmark S203-4 measures the house-edge-anchored trajectory between D'Alembert and Flat Betting over 74 hands of No-Comm Streak: with 90 units, a 65-unit cap, and 1.4579% house edge, ruin settles at 9.40% vs 4.92% while sequential survival-window reaches -41u.
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.