Benchmark S284-0 tabulates the capital-bounded decay-rate between HK 6-Step and Flat Betting over 75 hands of 5% Comm Streak: with 80 units, a 60-unit cap, and 1.0579% house edge, ruin settles at 18.16% vs 4.80% while absorbing-barrier decay-rate reaches -58u. 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 S284 (HK 6-Step vs Flat Betting, 9-Hand Dragon Streak 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 S284 compares 1-3-7-15-31-63 against 1-1-1-1 constant unit over 75 hands.
Probability of exhausting the 80-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 75 coups.
Deepest unit trough triggered by a 9-hand run inside the streak shoe profile.
Reflects 8.4% tie frequency (6 pushes) and 1.65u in vigorish friction.
When 5% Comm Streak (streak) injects a 9-hand extreme run and 6 tie pushes (8.4% Tie density) over 75 coups, sequential audit S284-1 models Hong Kong 6-Step Cruise at 3.44u expected erosion (18.16% ruin) compared with 0.83u (4.80% ruin) for Flat 1-Unit Baseline on 80 units.
Benchmark S284-2 measures the bankroll-constrained threshold between HK 6-Step and Flat Betting over 75 hands of 5% Comm Streak: with 80 units, a 60-unit cap, and 1.0579% house edge, ruin settles at 18.16% vs 4.80% while capital-bounded distribution reaches -58u.
| S284 boundary | HK 6-Step | Flat Betting |
|---|---|---|
| HK 6-Step / Flat Betting Rule | 1-3-7-15-31-63 | 1-1-1-1 constant unit |
| 75-Hand Ruin (80u) | 18.16% | 4.80% |
| 5% Comm Streak Hold (1.0579%) | 3.44u | 0.83u |
| 9-Run Trough (60u Cap) | -58u | -20u |
When 5% Comm Streak (streak) injects a 9-hand extreme run and 6 tie pushes (8.4% Tie density) over 75 coups, stochastic audit S284-3 dissects Hong Kong 6-Step Cruise at 3.44u expected erosion (18.16% ruin) compared with 0.83u (4.80% ruin) for Flat 1-Unit Baseline on 80 units.
Benchmark S284-4 quantifies the absorbing-barrier footprint between HK 6-Step and Flat Betting over 75 hands of 5% Comm Streak: with 80 units, a 60-unit cap, and 1.0579% house edge, ruin settles at 18.16% vs 4.80% while commission-adjusted survival-window reaches -58u.
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.