Under Player High-Tie (1.2351% effective edge), multi-coup stress run S140-0 over 210 hands and a 130-unit treasury benchmarks a -23u drawdown (18.56% ruin) for Paroli 3-Step Press against -16u (8.79% ruin) for Flat 1-Unit Baseline inside a 85-unit cap. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S140 (Paroli vs Flat Betting, Three-Shoe 15% Tie Density on Even-Money Player Wagers). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
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.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
Stress cell S140 compares 1-2-4-reset against 1-1-1-1 constant unit over 210 hands.
Probability of exhausting the 130-unit bankroll under a 85-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 210 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 15.24% tie frequency (32 pushes) and 1.80u in vigorish friction.
In discrete-time comparative trial S140-1, running Paroli against Flat Betting for 210 hands of Player High-Tie (high-tie) on 130 units tracks 3.75u vs 2.70u in expected toll and 18.56% vs 8.79% ruin under a 85-unit pit limit.
Under Player High-Tie (1.2351% effective edge), drawdown-weighted stress run S140-2 over 210 hands and a 130-unit treasury calibrates a -23u drawdown (18.56% ruin) for Paroli 3-Step Press against -16u (8.79% ruin) for Flat 1-Unit Baseline inside a 85-unit cap.
| S140 envelope | Paroli | Flat Betting |
|---|---|---|
| Paroli / Flat Betting Rule | 1-2-4-reset | 1-1-1-1 constant unit |
| 210-Hand Ruin (130u) | 18.56% | 8.79% |
| Player High-Tie Hold (1.2351%) | 3.75u | 2.70u |
| 4-Run Trough (85u Cap) | -23u | -16u |
In capital-bounded comparative trial S140-3, running Paroli against Flat Betting for 210 hands of Player High-Tie (high-tie) on 130 units tabulates 3.75u vs 2.70u in expected toll and 18.56% vs 8.79% ruin under a 85-unit pit limit.
Under Player High-Tie (1.2351% effective edge), sequential stress run S140-4 over 210 hands and a 130-unit treasury models a -23u drawdown (18.56% ruin) for Paroli 3-Step Press against -16u (8.79% ruin) for Flat 1-Unit Baseline inside a 85-unit cap.
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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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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.