For a 40-unit roll spanning 216 hands (3 shoes), Martingale Doubling (1-2-4-8-16-32-64) dissects a multi-coup ledger under matrix M107-0, where the 60-unit table roof and -20u/+10u barriers yield 94.80% ruin versus 19.53% upside completion. 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 M107 (Martingale Doubling, 40u 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
Matrix cell M107 tests Martingale Doubling with a $50 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 216 hands or reaching +10u.
Share of 216-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.
A 60-unit house limit and 40-unit stack cap Martingale escalation after 6 adverse coups.
Derived from 434u total action (2.01x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Combinatorial ledger M107-1 evaluates Martingale (1-2-4-8-16-32-64) at 40 units and 216 hands (3 shoes), proving that a 60-unit table ceiling and 2.01x average bet multiplier yield 94.80% ruin probability and 6.52u in theoretical house hold.
For a 40-unit roll spanning 216 hands (3 shoes), Martingale Doubling (1-2-4-8-16-32-64) audits a session-bounded excursion under matrix M107-2, where the 60-unit table roof and -20u/+10u barriers yield 94.80% ruin versus 19.53% upside completion.
| M107 Parameter | Martingale (40u) | 3-Shoe distribution |
|---|---|---|
| Martingale Ladder | 1-2-4-8-16-32-64 (7 steps) | Peak 64u multiplier on M107 |
| 40u Stack Window | 216 hands (3 shoes) | Barriers -20u / +10u |
| 60u Ceiling & Ruin | 94.80% ruin vs 19.53% win | Depth 6 steps (16 cap hits) |
| 434u Handle & Hold | 6.52u ($326) | Multiplier 2.01x (session-bounded drift) |
Combinatorial ledger M107-3 tracks Martingale (1-2-4-8-16-32-64) at 40 units and 216 hands (3 shoes), proving that a 60-unit table ceiling and 2.01x average bet multiplier yield 94.80% ruin probability and 6.52u in theoretical house hold.
For a 40-unit roll spanning 216 hands (3 shoes), Martingale Doubling (1-2-4-8-16-32-64) measures a step-indexed turnover under matrix M107-4, where the 60-unit table roof and -20u/+10u barriers yield 94.80% ruin versus 19.53% upside completion.
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.
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.