Case M115-0 inspects the variance-scaled Martingale Doubling (1-2-4-8-16-32-64) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 74.90% ruin rate while inspects an average stake distribution of 3.53x and 19.09u ($955) 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 M115 (Martingale Doubling, 100u 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.
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 M115 tests Martingale Doubling with a $50 base unit and -50u/+25u absorbing boundaries.
Probability of hitting the -50u drawdown barrier before completing 360 hands or reaching +25u.
Share of 360-hand trajectories reaching the +25u session ceiling, with 0.50% ending between barriers.
A 80-unit house limit and 100-unit stack cap Martingale escalation after 7 adverse coups.
Derived from 1271u total action (3.53x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In step-indexed benchmark M115-1, running Martingale across 360 deals with 100 units and a 80-unit maximum wager verifies 1271u of total handle, 19.09u in commission-weighted drift, and a 74.90% probability of exhausting the 50-unit drawdown buffer.
Case M115-2 tabulates the eight-deck Martingale Doubling (1-2-4-8-16-32-64) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 74.90% ruin rate while audits an average stake envelope of 3.53x and 19.09u ($955) in theoretical house-edge toll.
| M115 Parameter | Martingale (100u) | 5-Shoe capital-runway |
|---|---|---|
| Martingale Ladder | 1-2-4-8-16-32-64 (7 steps) | Peak 64u multiplier on M115 |
| 100u Stack Window | 360 hands (5 shoes) | Barriers -50u / +25u |
| 80u Ceiling & Ruin | 74.90% ruin vs 26.34% win | Depth 7 steps (20 cap hits) |
| 1271u Handle & Hold | 19.09u ($955) | Multiplier 3.53x (sequential drift) |
In absorbing-barrier benchmark M115-3, running Martingale across 360 deals with 100 units and a 80-unit maximum wager quantifies 1271u of total handle, 19.09u in commission-weighted drift, and a 74.90% probability of exhausting the 50-unit drawdown buffer.
Case M115-4 charts the bankroll-constrained Martingale Doubling (1-2-4-8-16-32-64) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 74.90% ruin rate while verifies an average stake trajectory of 3.53x and 19.09u ($955) in theoretical house-edge toll.
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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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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.