Case M426-0 documents the asymmetric Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 71.25% ruin rate while verifies an average stake envelope of 1.46x and 1.63u ($41) 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 M426 (Hong Kong 6-Step Cruise, 20u bankroll, 72 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 M426 tests Hong Kong 6-Step Cruise with a $25 base unit and -10u/+6u absorbing boundaries.
Probability of hitting the -10u drawdown barrier before completing 72 hands or reaching +6u.
Share of 72-hand trajectories reaching the +6u session ceiling, with 5.89% ending between barriers.
A 40-unit house limit and 20-unit stack cap HK 6-Step escalation after 5 adverse coups.
Derived from 105u total action (1.46x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In combinatorial benchmark M426-1, running HK 6-Step across 72 deals with 20 units and a 40-unit maximum wager benchmarks 105u of total handle, 1.63u in commission-weighted drift, and a 71.25% probability of exhausting the 10-unit drawdown buffer.
Case M426-2 models the non-stationary Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 71.25% ruin rate while tracks an average stake trajectory of 1.46x and 1.63u ($41) in theoretical house-edge toll.
| M426 Parameter | HK 6-Step (20u) | 1-Shoe progression-curve |
|---|---|---|
| HK 6-Step Ladder | 1-3-7-15-31-63 (6 steps) | Peak 63u multiplier on M426 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 71.25% ruin vs 22.86% win | Depth 5 steps (8 cap hits) |
| 105u Handle & Hold | 1.63u ($41) | Multiplier 1.46x (step-indexed drift) |
In table-capped benchmark M426-3, running HK 6-Step across 72 deals with 20 units and a 40-unit maximum wager computes 105u of total handle, 1.63u in commission-weighted drift, and a 71.25% probability of exhausting the 10-unit drawdown buffer.
Case M426-4 inspects the house-edge-anchored Hong Kong 6-Step Cruise (1-3-7-15-31-63) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 71.25% ruin rate while tabulates an average stake cycle-span of 1.46x and 1.63u ($41) 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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.