In asymmetric comparative trial S285-0, running HK 6-Step against Flat Betting for 78 hands of 5% Comm High-Tie (high-tie) on 75 units benchmarks 3.58u vs 0.86u in expected toll and 26.23% vs 5.52% ruin under a 50-unit pit limit. 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 S285 (HK 6-Step 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 S285 compares 1-3-7-15-31-63 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 1.72u in vigorish friction.
Under 5% Comm High-Tie (1.0579% effective edge), finite-shoe stress run S285-1 over 78 hands and a 75-unit treasury tracks a -34u drawdown (26.23% ruin) for Hong Kong 6-Step Cruise against -16u (5.52% ruin) for Flat 1-Unit Baseline inside a 50-unit cap.
In commission-adjusted comparative trial S285-2, running HK 6-Step against Flat Betting for 78 hands of 5% Comm High-Tie (high-tie) on 75 units calibrates 3.58u vs 0.86u in expected toll and 26.23% vs 5.52% ruin under a 50-unit pit limit.
| S285 cycle-span | HK 6-Step | Flat Betting |
|---|---|---|
| HK 6-Step / Flat Betting Rule | 1-3-7-15-31-63 | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 26.23% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 3.58u | 0.86u |
| 4-Run Trough (50u Cap) | -34u | -16u |
Under 5% Comm High-Tie (1.0579% effective edge), multi-coup stress run S285-3 over 78 hands and a 75-unit treasury tabulates a -34u drawdown (26.23% ruin) for Hong Kong 6-Step Cruise against -16u (5.52% ruin) for Flat 1-Unit Baseline inside a 50-unit cap.
In discrete-time comparative trial S285-4, running HK 6-Step against Flat Betting for 78 hands of 5% Comm High-Tie (high-tie) on 75 units models 3.58u vs 0.86u in expected toll and 26.23% vs 5.52% ruin under a 50-unit pit limit.
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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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.
Plain-English answers on independent trials, progression variance, and scoreboard reading.