Case M333-0 benchmarks the discrete-time Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 profiles an average stake escalation of 1.65x and 16.72u ($1672) 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 M333 (Labouchere Split-Line, 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 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 M333 tests Labouchere Split-Line 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 Labouchere escalation after 6 adverse coups.
Derived from 1188u total action (1.65x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In commission-adjusted benchmark M333-1, running Labouchere across 720 deals with 40 units and a 100-unit maximum wager models 1188u of total handle, 16.72u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M333-2 computes the asymmetric Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 benchmarks an average stake exposure of 1.65x and 16.72u ($1672) in theoretical house-edge toll.
| M333 Parameter | Labouchere (40u) | 10-Shoe boundary |
|---|---|---|
| Labouchere Ladder | [1-2-3-2-1] outside sum (9 steps) | Peak 18u multiplier on M333 |
| 40u Stack Window | 720 hands (10 shoes) | Barriers -20u / +10u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.94% win | Depth 6 steps (9 cap hits) |
| 1188u Handle & Hold | 16.72u ($1672) | Multiplier 1.65x (variance-scaled drift) |
In combinatorial benchmark M333-3, running Labouchere across 720 deals with 40 units and a 100-unit maximum wager inspects 1188u of total handle, 16.72u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M333-4 verifies the non-stationary Labouchere Split-Line ([1-2-3-2-1] outside sum) 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 calibrates an average stake profile of 1.65x and 16.72u ($1672) 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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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).