Under step-indexed boundary rules in M345-0, pairing Labouchere Split-Line with 200 units across 5 shoes (360 hands) and a 80-unit maximum maps a 30.51% stop-loss absorption rate, surviving at most 7 adverse steps before asymmetric survival-window truncation. 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 M345 (Labouchere Split-Line, 200u bankroll, 360 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.
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.
Matrix cell M345 tests Labouchere Split-Line with a $50 base unit and -100u/+50u absorbing boundaries.
Probability of hitting the -100u drawdown barrier before completing 360 hands or reaching +50u.
Share of 360-hand trajectories reaching the +50u session ceiling, with 30.72% ending between barriers.
A 80-unit house limit and 200-unit stack cap Labouchere escalation after 7 adverse coups.
Derived from 1253u total action (3.48x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Audit M345-1 documents the eight-deck trajectory of Labouchere when anchored to 200 units and a 360-hand (5-shoe) schedule: the 80-unit maximum wager restricts recovery at step 7, locking in a 30.51% stop-loss frequency and $882 in mathematical friction.
Under absorbing-barrier boundary rules in M345-2, pairing Labouchere Split-Line with 200 units across 5 shoes (360 hands) and a 80-unit maximum benchmarks a 30.51% stop-loss absorption rate, surviving at most 7 adverse steps before bankroll-constrained stake-velocity truncation.
| M345 Parameter | Labouchere (200u) | 5-Shoe capital-runway |
|---|---|---|
| Labouchere Ladder | [1-2-3-2-1] outside sum (9 steps) | Peak 18u multiplier on M345 |
| 200u Stack Window | 360 hands (5 shoes) | Barriers -100u / +50u |
| 80u Ceiling & Ruin | 30.51% ruin vs 38.76% win | Depth 7 steps (6 cap hits) |
| 1253u Handle & Hold | 17.63u ($882) | Multiplier 3.48x (stochastic drift) |
Audit M345-3 models the bankroll-constrained cycle-span of Labouchere when anchored to 200 units and a 360-hand (5-shoe) schedule: the 80-unit maximum wager restricts recovery at step 7, locking in a 30.51% stop-loss frequency and $882 in mathematical friction.
Under capital-bounded boundary rules in M345-4, pairing Labouchere Split-Line with 200 units across 5 shoes (360 hands) and a 80-unit maximum computes a 30.51% stop-loss absorption rate, surviving at most 7 adverse steps before variance-scaled cycle-span truncation.
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).