Case M101-0 evaluates the combinatorial Martingale Doubling (1-2-4-8-16-32-64) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 74.90% ruin rate while models an average stake trajectory of 1.51x and 1.64u ($41) 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 M101 (Martingale Doubling, 20u bankroll, 72 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 M101 tests Martingale Doubling with a $25 base unit and -10u/+6u absorbing boundaries.
Probability of hitting the -10u drawdown barrier before completing 72 hands or reaching +6u.
Share of 72-hand trajectories reaching the +6u session ceiling, with 3.26% ending between barriers.
A 40-unit house limit and 20-unit stack cap Martingale escalation after 5 adverse coups.
Derived from 109u total action (1.51x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In non-stationary benchmark M101-1, running Martingale across 72 deals with 20 units and a 40-unit maximum wager audits 109u of total handle, 1.64u in commission-weighted drift, and a 74.90% probability of exhausting the 10-unit drawdown buffer.
Case M101-2 tracks the table-capped Martingale Doubling (1-2-4-8-16-32-64) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 74.90% ruin rate while dissects an average stake cycle-span of 1.51x and 1.64u ($41) in theoretical house-edge toll.
| M101 Parameter | Martingale (20u) | 1-Shoe profile |
|---|---|---|
| Martingale Ladder | 1-2-4-8-16-32-64 (7 steps) | Peak 64u multiplier on M101 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 74.90% ruin vs 21.84% win | Depth 5 steps (8 cap hits) |
| 109u Handle & Hold | 1.64u ($41) | Multiplier 1.51x (eight-deck drift) |
In house-edge-anchored benchmark M101-3, running Martingale across 72 deals with 20 units and a 40-unit maximum wager measures 109u of total handle, 1.64u in commission-weighted drift, and a 74.90% probability of exhausting the 10-unit drawdown buffer.
Case M101-4 maps the stochastic Martingale Doubling (1-2-4-8-16-32-64) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 74.90% ruin rate while computes an average stake capital-runway of 1.51x and 1.64u ($41) in theoretical house-edge toll.
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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.