Within non-stationary horizon M143-0, a 150-unit treasury backing Grand Martingale (2x+1) for 720 hands (10 shoes) faces a 100-unit bet cap that measures 94.80% ruin exposure, 19.74% 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 M143 (Grand Martingale (2x+1), 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 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 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 M143 tests Grand Martingale (2x+1) 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 Grand Martingale escalation after 7 adverse coups.
Derived from 4342u total action (6.03x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Horizon matrix M143-1 maps how Grand Martingale (1-3-7-15-31-63-127) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 94.80% drawdown-trigger rate alongside 77.17u in expected 8-deck vigorish.
Within house-edge-anchored horizon M143-2, a 150-unit treasury backing Grand Martingale (2x+1) for 720 hands (10 shoes) faces a 100-unit bet cap that documents 94.80% ruin exposure, 19.74% target attainment at +38u, and 0.50% time-limit expiration.
| M143 Parameter | Grand Martingale (150u) | 10-Shoe escalation |
|---|---|---|
| Grand Martingale Ladder | 1-3-7-15-31-63-127 (7 steps) | Peak 127u multiplier on M143 |
| 150u Stack Window | 720 hands (10 shoes) | Barriers -75u / +38u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.74% win | Depth 7 steps (64 cap hits) |
| 4342u Handle & Hold | 77.17u ($7717) | Multiplier 6.03x (variance-scaled drift) |
Horizon matrix M143-3 benchmarks how Grand Martingale (1-3-7-15-31-63-127) behaves inside a 150-unit session budget across 720 coups, showing that a 100-unit pit limit and 75-unit floor generate a 94.80% drawdown-trigger rate alongside 77.17u in expected 8-deck vigorish.
Within sequential horizon M143-4, a 150-unit treasury backing Grand Martingale (2x+1) for 720 hands (10 shoes) faces a 100-unit bet cap that models 94.80% ruin exposure, 19.74% 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.
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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.