Case M408-0 calibrates the multi-coup 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while dissects an average stake footprint of 1.21x and 10.41u ($1041) 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 M408 (2-1-2 Manhattan Progression, 40u 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 M408 tests 2-1-2 Manhattan Progression with a $100 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.
Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 40-unit stack cap 2-1-2 Manhattan escalation after 6 adverse coups.
Derived from 871u total action (1.21x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In finite-shoe benchmark M408-1, running 2-1-2 Manhattan across 720 deals with 40 units and a 100-unit maximum wager dissects 871u of total handle, 10.41u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M408-2 evaluates the session-bounded 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while computes an average stake cadence of 1.21x and 10.41u ($1041) in theoretical house-edge toll.
| M408 Parameter | 2-1-2 Manhattan (40u) | 10-Shoe envelope |
|---|---|---|
| 2-1-2 Manhattan Ladder | 2-1-2-3-4-5 (6 steps) | Peak 5u multiplier on M408 |
| 40u Stack Window | 720 hands (10 shoes) | Barriers -20u / +10u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.94% win | Depth 6 steps (3 cap hits) |
| 871u Handle & Hold | 10.41u ($1041) | Multiplier 1.21x (non-stationary drift) |
In variance-scaled benchmark M408-3, running 2-1-2 Manhattan across 720 deals with 40 units and a 100-unit maximum wager audits 871u of total handle, 10.41u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M408-4 tracks the step-indexed 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while evaluates an average stake escalation of 1.21x and 10.41u ($1041) in theoretical house-edge toll.
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.
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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.