Across 216 eight-deck hands (3 shoes), discrete-time simulation M112-0 for Martingale Doubling on a 75-unit bankroll audits a 61.40% risk-of-ruin figure, tabulates 16 ceiling-collision events against the 60-unit cap and a 9.72% mid-corridor finish rate. 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 M112 (Martingale Doubling, 75u 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Matrix cell M112 tests Martingale Doubling with a $50 base unit and -38u/+19u absorbing boundaries.
Probability of hitting the -38u drawdown barrier before completing 216 hands or reaching +19u.
Share of 216-hand trajectories reaching the +19u session ceiling, with 9.72% ending between barriers.
A 60-unit house limit and 75-unit stack cap Martingale escalation after 6 adverse coups.
Derived from 626u total action (2.90x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M112-1 tracks the commission-adjusted exposure of a 75-unit Martingale plan over 216 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 60-unit ceiling elevates total turnover to 626u and sets ruin at 61.40%.
Across 216 eight-deck hands (3 shoes), asymmetric simulation M112-2 for Martingale Doubling on a 75-unit bankroll measures a 61.40% risk-of-ruin figure, measures 16 ceiling-collision events against the 60-unit cap and a 9.72% mid-corridor finish rate.
| M112 Parameter | Martingale (75u) | 3-Shoe decay-rate |
|---|---|---|
| Martingale Ladder | 1-2-4-8-16-32-64 (7 steps) | Peak 64u multiplier on M112 |
| 75u Stack Window | 216 hands (3 shoes) | Barriers -38u / +19u |
| 60u Ceiling & Ruin | 61.40% ruin vs 28.89% win | Depth 6 steps (16 cap hits) |
| 626u Handle & Hold | 9.40u ($470) | Multiplier 2.90x (discrete-time drift) |
Cell M112-3 maps the combinatorial profile of a 75-unit Martingale plan over 216 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 60-unit ceiling elevates total turnover to 626u and sets ruin at 61.40%.
Across 216 eight-deck hands (3 shoes), non-stationary simulation M112-4 for Martingale Doubling on a 75-unit bankroll documents a 61.40% risk-of-ruin figure, quantifies 16 ceiling-collision events against the 60-unit cap and a 9.72% mid-corridor finish rate.
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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.