Case M447-0 verifies the bankroll-constrained Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 15.14% ruin rate while charts an average stake boundary of 4.51x and 15.15u ($758) 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 M447 (Hong Kong 6-Step Cruise, 300u bankroll, 216 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural 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.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Matrix cell M447 tests Hong Kong 6-Step Cruise with a $50 base unit and -150u/+75u absorbing boundaries.
Probability of hitting the -150u drawdown barrier before completing 216 hands or reaching +75u.
Share of 216-hand trajectories reaching the +75u session ceiling, with 43.02% ending between barriers.
A 60-unit house limit and 300-unit stack cap HK 6-Step escalation after 6 adverse coups.
Derived from 974u total action (4.51x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In capital-bounded benchmark M447-1, running HK 6-Step across 216 deals with 300 units and a 60-unit maximum wager tabulates 974u of total handle, 15.15u in commission-weighted drift, and a 15.14% probability of exhausting the 150-unit drawdown buffer.
Case M447-2 quantifies the discrete-time Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 15.14% ruin rate while documents an average stake dispersion of 4.51x and 15.15u ($758) in theoretical house-edge toll.
| M447 Parameter | HK 6-Step (300u) | 3-Shoe survival-window |
|---|---|---|
| HK 6-Step Ladder | 1-3-7-15-31-63 (6 steps) | Peak 63u multiplier on M447 |
| 300u Stack Window | 216 hands (3 shoes) | Barriers -150u / +75u |
| 60u Ceiling & Ruin | 15.14% ruin vs 41.84% win | Depth 6 steps (16 cap hits) |
| 974u Handle & Hold | 15.15u ($758) | Multiplier 4.51x (variance-scaled drift) |
In commission-adjusted benchmark M447-3, running HK 6-Step across 216 deals with 300 units and a 60-unit maximum wager charts 974u of total handle, 15.15u in commission-weighted drift, and a 15.14% probability of exhausting the 150-unit drawdown buffer.
Case M447-4 profiles the asymmetric Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 15.14% ruin rate while profiles an average stake distribution of 4.51x and 15.15u ($758) 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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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).