Head-to-head matrix S202-0 subjects D'Alembert (+1 on loss / -1 on win) and Flat Betting (1-1-1-1 constant unit) to 70 hands of No-Comm Chop (chop) with 65 units and a 50-unit roof, models 2.05u versus 1.06u in mathematical house hold and 12.27% versus 5.93% ruin. 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 S202 (D'Alembert vs Flat Betting, Ping-Pong Chop 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 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 S202 compares +1 on loss / -1 on win against 1-1-1-1 constant unit over 70 hands.
Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.55% tie frequency (7 pushes) and 1.27u in vigorish friction.
Combinatorial stress ledger S202-1 measures D'Alembert Pyramid versus Flat 1-Unit Baseline across 70 coups (65u bankroll, 50u max bet), demonstrating that 1.4579% house edge and 2-hand runs enforce 12.27% vs 5.93% ruin along the step-indexed escalation.
Head-to-head matrix S202-2 subjects D'Alembert (+1 on loss / -1 on win) and Flat Betting (1-1-1-1 constant unit) to 70 hands of No-Comm Chop (chop) with 65 units and a 50-unit roof, dissects 2.05u versus 1.06u in mathematical house hold and 12.27% versus 5.93% ruin.
| S202 profile | D'Alembert | Flat Betting |
|---|---|---|
| D'Alembert / Flat Betting Rule | +1 on loss / -1 on win | 1-1-1-1 constant unit |
| 70-Hand Ruin (65u) | 12.27% | 5.93% |
| No-Comm Chop Hold (1.4579%) | 2.05u | 1.06u |
| 2-Run Trough (50u Cap) | -21u | -10u |
Combinatorial stress ledger S202-3 quantifies D'Alembert Pyramid versus Flat 1-Unit Baseline across 70 coups (65u bankroll, 50u max bet), demonstrating that 1.4579% house edge and 2-hand runs enforce 12.27% vs 5.93% ruin along the variance-scaled exposure.
Head-to-head matrix S202-4 subjects D'Alembert (+1 on loss / -1 on win) and Flat Betting (1-1-1-1 constant unit) to 70 hands of No-Comm Chop (chop) with 65 units and a 50-unit roof, computes 2.05u versus 1.06u in mathematical house hold and 12.27% versus 5.93% ruin.
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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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.