Across 78 resolved and tied deals under 5% Comm High-Tie (1.0579% edge), asymmetric comparison S271-0 models 2-1-2 Manhattan Progression against Flat 1-Unit Baseline on a 75-unit bankroll, showing that 4-hand clusters and a 50-unit ceiling drive 14.56% vs 5.52% stop-loss breaches along the session-bounded decay-rate. 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 S271 (2-1-2 Manhattan 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 S271 compares 2-1-2-3-4-5 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 0.64u in vigorish friction.
Pairing a 75-unit bankroll against 78 hands of 5% Comm High-Tie (1.0579% edge) in cell S271-1 measures 2-1-2 Manhattan at 14.56% ruin and -23u peak turnover, whereas Flat Betting records 5.52% ruin and -12u below the 50-unit ceiling.
Across 78 resolved and tied deals under 5% Comm High-Tie (1.0579% edge), commission-adjusted comparison S271-2 dissects 2-1-2 Manhattan Progression against Flat 1-Unit Baseline on a 75-unit bankroll, showing that 4-hand clusters and a 50-unit ceiling drive 14.56% vs 5.52% stop-loss breaches along the step-indexed distribution.
| S271 absorption-curve | 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 |
| 78-Hand Ruin (75u) | 14.56% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 1.34u | 0.86u |
| 4-Run Trough (50u Cap) | -23u | -12u |
Pairing a 75-unit bankroll against 78 hands of 5% Comm High-Tie (1.0579% edge) in cell S271-3 quantifies 2-1-2 Manhattan at 14.56% ruin and -23u peak decay-rate, whereas Flat Betting records 5.52% ruin and -12u below the 50-unit ceiling.
Across 78 resolved and tied deals under 5% Comm High-Tie (1.0579% edge), discrete-time comparison S271-4 computes 2-1-2 Manhattan Progression against Flat 1-Unit Baseline on a 75-unit bankroll, showing that 4-hand clusters and a 50-unit ceiling drive 14.56% vs 5.52% stop-loss breaches along the absorbing-barrier survival-window.
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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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.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).