Stress test S270-0 quantifies 2-1-2 Manhattan Progression (2-1-2-3-4-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 80-unit bankroll over 75 hands (5% Comm Streak, streak), where a 60-unit table ceiling produces 10.47% vs 4.80% ruin rates and computes 0.62u in capital-bounded vigorish 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 S270 (2-1-2 Manhattan vs Flat Betting, 9-Hand Dragon Streak 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 S270 compares 2-1-2-3-4-5 against 1-1-1-1 constant unit over 75 hands.
Probability of exhausting the 80-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 75 coups.
Deepest unit trough triggered by a 9-hand run inside the streak shoe profile.
Reflects 8.4% tie frequency (6 pushes) and 0.62u in vigorish friction.
Evaluating 2-1-2 Manhattan vs Flat Betting in scenario S270-1 (75 hands, 80u stack, 60u table limit) computes how 6 tie stalls (8.4%) and a 9-coup run shape sequential exposure, yielding 10.47% vs 4.80% ruin.
Stress test S270-2 maps 2-1-2 Manhattan Progression (2-1-2-3-4-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 80-unit bankroll over 75 hands (5% Comm Streak, streak), where a 60-unit table ceiling produces 10.47% vs 4.80% ruin rates and verifies 0.62u in bankroll-constrained vigorish drag.
| S270 distribution | 2-1-2 Manhattan | Flat Betting |
|---|---|---|
| 2-1-2 Manhattan / Flat Betting Rule | 2-1-2-3-4-5 | 1-1-1-1 constant unit |
| 75-Hand Ruin (80u) | 10.47% | 4.80% |
| 5% Comm Streak Hold (1.0579%) | 1.29u | 0.83u |
| 9-Run Trough (60u Cap) | -33u | -21u |
Evaluating 2-1-2 Manhattan vs Flat Betting in scenario S270-3 (75 hands, 80u stack, 60u table limit) evaluates how 6 tie stalls (8.4%) and a 9-coup run shape stochastic profile, yielding 10.47% vs 4.80% ruin.
Stress test S270-4 charts 2-1-2 Manhattan Progression (2-1-2-3-4-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 80-unit bankroll over 75 hands (5% Comm Streak, streak), where a 60-unit table ceiling produces 10.47% vs 4.80% ruin rates and quantifies 0.62u in absorbing-barrier vigorish drag.
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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.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.