Case M347-0 calibrates the multi-coup Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 11.69% ruin rate while dissects an average stake footprint of 3.48x and 10.58u ($529) 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 M347 (Labouchere Split-Line, 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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 M347 tests Labouchere Split-Line 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 45.51% ending between barriers.
A 60-unit house limit and 300-unit stack cap Labouchere escalation after 6 adverse coups.
Derived from 752u total action (3.48x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In finite-shoe benchmark M347-1, running Labouchere across 216 deals with 300 units and a 60-unit maximum wager dissects 752u of total handle, 10.58u in commission-weighted drift, and a 11.69% probability of exhausting the 150-unit drawdown buffer.
Case M347-2 evaluates the session-bounded Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 11.69% ruin rate while computes an average stake cadence of 3.48x and 10.58u ($529) in theoretical house-edge toll.
| M347 Parameter | Labouchere (300u) | 3-Shoe absorption-curve |
|---|---|---|
| Labouchere Ladder | [1-2-3-2-1] outside sum (9 steps) | Peak 18u multiplier on M347 |
| 300u Stack Window | 216 hands (3 shoes) | Barriers -150u / +75u |
| 60u Ceiling & Ruin | 11.69% ruin vs 42.80% win | Depth 6 steps (5 cap hits) |
| 752u Handle & Hold | 10.58u ($529) | Multiplier 3.48x (house-edge-anchored drift) |
In variance-scaled benchmark M347-3, running Labouchere across 216 deals with 300 units and a 60-unit maximum wager audits 752u of total handle, 10.58u in commission-weighted drift, and a 11.69% probability of exhausting the 150-unit drawdown buffer.
Case M347-4 tracks the step-indexed Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 11.69% ruin rate while evaluates an average stake escalation of 3.48x and 10.58u ($529) 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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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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.