Combinatorial stress ledger S131-0 evaluates Paroli 3-Step Press versus Flat 1-Unit Baseline across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 12.26% vs 5.52% ruin along the asymmetric distribution. 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 S131 (Paroli 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 S131 compares 1-2-4-reset 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 0.57u in vigorish friction.
Head-to-head matrix S131-1 subjects Paroli (1-2-4-reset) and Flat Betting (1-1-1-1 constant unit) to 78 hands of 5% Comm High-Tie (high-tie) with 75 units and a 50-unit roof, charts 1.19u versus 0.86u in mathematical house hold and 12.26% versus 5.52% ruin.
Combinatorial stress ledger S131-2 inspects Paroli 3-Step Press versus Flat 1-Unit Baseline across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 12.26% vs 5.52% ruin along the commission-adjusted envelope.
| S131 trajectory | Paroli | Flat Betting |
|---|---|---|
| Paroli / Flat Betting Rule | 1-2-4-reset | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 12.26% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 1.19u | 0.86u |
| 4-Run Trough (50u Cap) | -20u | -12u |
Head-to-head matrix S131-3 subjects Paroli (1-2-4-reset) and Flat Betting (1-1-1-1 constant unit) to 78 hands of 5% Comm High-Tie (high-tie) with 75 units and a 50-unit roof, documents 1.19u versus 0.86u in mathematical house hold and 12.26% versus 5.52% ruin.
Combinatorial stress ledger S131-4 audits Paroli 3-Step Press versus Flat 1-Unit Baseline across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 12.26% vs 5.52% ruin along the discrete-time trajectory.
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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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.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.