Case M440-0 profiles the session-bounded Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 71.25% ruin rate while quantifies an average stake dispersion of 3.29x and 18.41u ($921) in theoretical house-edge toll. Every 8-deck hand remains statistically independent (45.86% Banker, 44.62% Player, 9.52% Tie), meaning progression sizing reshapes session variance without altering the house edge.
Reference 8-deck shoe for Matrix Cell M440 (Hong Kong 6-Step Cruise, 100u bankroll, 360 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural 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.
Matrix cell M440 tests Hong Kong 6-Step Cruise with a $50 base unit and -50u/+25u absorbing boundaries.
Probability of hitting the -50u drawdown barrier before completing 360 hands or reaching +25u.
Share of 360-hand trajectories reaching the +25u session ceiling, with 1.39% ending between barriers.
A 80-unit house limit and 100-unit stack cap HK 6-Step escalation after 7 adverse coups.
Derived from 1184u total action (3.29x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In variance-scaled benchmark M440-1, running HK 6-Step across 360 deals with 100 units and a 80-unit maximum wager calibrates 1184u of total handle, 18.41u in commission-weighted drift, and a 71.25% probability of exhausting the 50-unit drawdown buffer.
Case M440-2 dissects the step-indexed Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 71.25% ruin rate while maps an average stake distribution of 3.29x and 18.41u ($921) in theoretical house-edge toll.
| M440 Parameter | HK 6-Step (100u) | 5-Shoe cadence |
|---|---|---|
| HK 6-Step Ladder | 1-3-7-15-31-63 (6 steps) | Peak 63u multiplier on M440 |
| 100u Stack Window | 360 hands (5 shoes) | Barriers -50u / +25u |
| 80u Ceiling & Ruin | 71.25% ruin vs 27.36% win | Depth 7 steps (20 cap hits) |
| 1184u Handle & Hold | 18.41u ($921) | Multiplier 3.29x (stochastic drift) |
In eight-deck benchmark M440-3, running HK 6-Step across 360 deals with 100 units and a 80-unit maximum wager evaluates 1184u of total handle, 18.41u in commission-weighted drift, and a 71.25% probability of exhausting the 50-unit drawdown buffer.
Case M440-4 audits the absorbing-barrier Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 71.25% ruin rate while charts an average stake envelope of 3.29x and 18.41u ($921) in theoretical house-edge toll.
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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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.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.