Head-to-head matrix S148-0 subjects 1-3-2-6 (1-3-2-6) and Flat Betting (1-1-1-1 constant unit) to 80 hands of No-Comm High-Tie (high-tie) with 85 units and a 60-unit roof, audits 1.93u versus 1.21u in mathematical house hold and 11.96% versus 5.73% 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 S148 (1-3-2-6 vs Flat Betting, 18% Tie-Heavy 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Stress cell S148 compares 1-3-2-6 against 1-1-1-1 constant unit over 80 hands.
Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.
Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.
Reflects 18.75% tie frequency (15 pushes) and 1.20u in vigorish friction.
Combinatorial stress ledger S148-1 profiles 1-3-2-6 Four-Stage Sequence versus Flat 1-Unit Baseline across 80 coups (85u bankroll, 60u max bet), demonstrating that 1.4579% house edge and 5-hand runs enforce 11.96% vs 5.73% ruin along the commission-adjusted envelope.
Head-to-head matrix S148-2 subjects 1-3-2-6 (1-3-2-6) and Flat Betting (1-1-1-1 constant unit) to 80 hands of No-Comm High-Tie (high-tie) with 85 units and a 60-unit roof, verifies 1.93u versus 1.21u in mathematical house hold and 11.96% versus 5.73% ruin.
| S148 threshold | 1-3-2-6 | Flat Betting |
|---|---|---|
| 1-3-2-6 / Flat Betting Rule | 1-3-2-6 | 1-1-1-1 constant unit |
| 80-Hand Ruin (85u) | 11.96% | 5.73% |
| No-Comm High-Tie Hold (1.4579%) | 1.93u | 1.21u |
| 5-Run Trough (60u Cap) | -28u | -15u |
Combinatorial stress ledger S148-3 benchmarks 1-3-2-6 Four-Stage Sequence versus Flat 1-Unit Baseline across 80 coups (85u bankroll, 60u max bet), demonstrating that 1.4579% house edge and 5-hand runs enforce 11.96% vs 5.73% ruin along the discrete-time trajectory.
Head-to-head matrix S148-4 subjects 1-3-2-6 (1-3-2-6) and Flat Betting (1-1-1-1 constant unit) to 80 hands of No-Comm High-Tie (high-tie) with 85 units and a 60-unit roof, tracks 1.93u versus 1.21u in mathematical house hold and 11.96% versus 5.73% 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.