Combinatorial stress ledger S273-0 profiles 2-1-2 Manhattan Progression versus Flat 1-Unit Baseline across 74 coups (90u bankroll, 65u max bet), demonstrating that 1.4579% house edge and 11-hand runs enforce 7.69% vs 4.92% ruin along the sequential excursion. 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 S273 (2-1-2 Manhattan 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 S273 compares 2-1-2-3-4-5 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 1.09u in vigorish friction.
Head-to-head matrix S273-1 subjects 2-1-2 Manhattan (2-1-2-3-4-5) and Flat Betting (1-1-1-1 constant unit) to 74 hands of No-Comm Streak (streak) with 90 units and a 65-unit roof, verifies 1.76u versus 1.12u in mathematical house hold and 7.69% versus 4.92% ruin.
Combinatorial stress ledger S273-2 benchmarks 2-1-2 Manhattan Progression versus Flat 1-Unit Baseline across 74 coups (90u bankroll, 65u max bet), demonstrating that 1.4579% house edge and 11-hand runs enforce 7.69% vs 4.92% ruin along the stochastic turnover.
| S273 threshold | 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 |
| 74-Hand Ruin (90u) | 7.69% | 4.92% |
| No-Comm Streak Hold (1.4579%) | 1.76u | 1.12u |
| 11-Run Trough (65u Cap) | -41u | -22u |
Head-to-head matrix S273-3 subjects 2-1-2 Manhattan (2-1-2-3-4-5) and Flat Betting (1-1-1-1 constant unit) to 74 hands of No-Comm Streak (streak) with 90 units and a 65-unit roof, tracks 1.76u versus 1.12u in mathematical house hold and 7.69% versus 4.92% ruin.
Combinatorial stress ledger S273-4 calibrates 2-1-2 Manhattan Progression versus Flat 1-Unit Baseline across 74 coups (90u bankroll, 65u max bet), demonstrating that 1.4579% house edge and 11-hand runs enforce 7.69% vs 4.92% ruin along the house-edge-anchored decay-rate.
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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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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.