Stress test S169-0 dissects 1-2-3-5 Four-Step Ladder (1-2-3-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 160-unit bankroll over 288 hands (4-Shoe Chop, chop), where a 100-unit table ceiling produces 23.81% vs 9.92% ruin rates and charts 2.29u in variance-scaled vigorish drag. 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 S169 (1-2-3-5 vs Flat Betting, Four-Shoe Alternating Sawtooth under 5% Banker Commission). 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 S169 compares 1-2-3-5 against 1-1-1-1 constant unit over 288 hands.
Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.38% tie frequency (27 pushes) and 2.29u in vigorish friction.
Evaluating 1-2-3-5 vs Flat Betting in scenario S169-1 (288 hands, 160u stack, 100u table limit) quantifies how 27 tie stalls (9.38%) and a 3-coup run shape combinatorial excursion, yielding 23.81% vs 9.92% ruin.
Stress test S169-2 computes 1-2-3-5 Four-Step Ladder (1-2-3-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 160-unit bankroll over 288 hands (4-Shoe Chop, chop), where a 100-unit table ceiling produces 23.81% vs 9.92% ruin rates and calibrates 2.29u in session-bounded vigorish drag.
| S169 trajectory | 1-2-3-5 | Flat Betting |
|---|---|---|
| 1-2-3-5 / Flat Betting Rule | 1-2-3-5 | 1-1-1-1 constant unit |
| 288-Hand Ruin (160u) | 23.81% | 9.92% |
| 4-Shoe Chop Hold (1.0579%) | 4.77u | 3.17u |
| 3-Run Trough (100u Cap) | -20u | -13u |
Evaluating 1-2-3-5 vs Flat Betting in scenario S169-3 (288 hands, 160u stack, 100u table limit) maps how 27 tie stalls (9.38%) and a 3-coup run shape asymmetric turnover, yielding 23.81% vs 9.92% ruin.
Stress test S169-4 evaluates 1-2-3-5 Four-Step Ladder (1-2-3-5) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 160-unit bankroll over 288 hands (4-Shoe Chop, chop), where a 100-unit table ceiling produces 23.81% vs 9.92% ruin rates and evaluates 2.29u in finite-shoe vigorish drag.
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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).