Within capital-bounded horizon M343-0, a 150-unit treasury backing Labouchere Split-Line for 720 hands (10 shoes) faces a 100-unit bet cap that verifies 76.93% ruin exposure, 24.74% target attainment at +38u, and 0.50% time-limit expiration. 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 M343 (Labouchere Split-Line, 150u 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.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Matrix cell M343 tests Labouchere Split-Line with a $100 base unit and -75u/+38u absorbing boundaries.
Probability of hitting the -75u drawdown barrier before completing 720 hands or reaching +38u.
Share of 720-hand trajectories reaching the +38u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 150-unit stack cap Labouchere escalation after 7 adverse coups.
Derived from 2477u total action (3.44x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Horizon matrix M343-1 tabulates how Labouchere ([1-2-3-2-1] outside sum) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 76.93% drawdown-trigger rate alongside 34.85u in expected 8-deck vigorish.
Within commission-adjusted horizon M343-2, a 150-unit treasury backing Labouchere Split-Line for 720 hands (10 shoes) faces a 100-unit bet cap that quantifies 76.93% ruin exposure, 24.74% target attainment at +38u, and 0.50% time-limit expiration.
| M343 Parameter | Labouchere (150u) | 10-Shoe cycle-span |
|---|---|---|
| Labouchere Ladder | [1-2-3-2-1] outside sum (9 steps) | Peak 18u multiplier on M343 |
| 150u Stack Window | 720 hands (10 shoes) | Barriers -75u / +38u |
| 100u Ceiling & Ruin | 76.93% ruin vs 24.74% win | Depth 7 steps (9 cap hits) |
| 2477u Handle & Hold | 34.85u ($3485) | Multiplier 3.44x (sequential drift) |
Horizon matrix M343-3 charts how Labouchere ([1-2-3-2-1] outside sum) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 76.93% drawdown-trigger rate alongside 34.85u in expected 8-deck vigorish.
Within combinatorial horizon M343-4, a 150-unit treasury backing Labouchere Split-Line for 720 hands (10 shoes) faces a 100-unit bet cap that profiles 76.93% ruin exposure, 24.74% target attainment at +38u, and 0.50% time-limit expiration.
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.
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.