Case M433-0 audits the stochastic Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while tabulates an average stake distribution of 1.92x and 21.49u ($2149) 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 M433 (Hong Kong 6-Step Cruise, 40u bankroll, 720 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 M433 tests Hong Kong 6-Step Cruise with a $100 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.
Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 40-unit stack cap HK 6-Step escalation after 6 adverse coups.
Derived from 1382u total action (1.92x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In sequential benchmark M433-1, running HK 6-Step across 720 deals with 40 units and a 100-unit maximum wager tracks 1382u of total handle, 21.49u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M433-2 measures the drawdown-weighted Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while measures an average stake envelope of 1.92x and 21.49u ($2149) in theoretical house-edge toll.
| M433 Parameter | HK 6-Step (40u) | 10-Shoe trajectory |
|---|---|---|
| HK 6-Step Ladder | 1-3-7-15-31-63 (6 steps) | Peak 63u multiplier on M433 |
| 40u Stack Window | 720 hands (10 shoes) | Barriers -20u / +10u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.94% win | Depth 6 steps (32 cap hits) |
| 1382u Handle & Hold | 21.49u ($2149) | Multiplier 1.92x (commission-adjusted drift) |
In multi-coup benchmark M433-3, running HK 6-Step across 720 deals with 40 units and a 100-unit maximum wager maps 1382u of total handle, 21.49u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M433-4 documents the finite-shoe Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while quantifies an average stake trajectory of 1.92x and 21.49u ($2149) 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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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.