Under table-capped boundary rules in M420-0, pairing 2-1-2 Manhattan Progression with 200 units across 5 shoes (360 hands) and a 80-unit maximum charts a 18.60% stop-loss absorption rate, surviving at most 7 adverse steps before discrete-time distribution truncation. 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 M420 (2-1-2 Manhattan Progression, 200u 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 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 M420 tests 2-1-2 Manhattan Progression with a $50 base unit and -100u/+50u absorbing boundaries.
Probability of hitting the -100u drawdown barrier before completing 360 hands or reaching +50u.
Share of 360-hand trajectories reaching the +50u session ceiling, with 39.30% ending between barriers.
A 80-unit house limit and 200-unit stack cap 2-1-2 Manhattan escalation after 7 adverse coups.
Derived from 644u total action (1.79x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Audit M420-1 profiles the house-edge-anchored distribution of 2-1-2 Manhattan when anchored to 200 units and a 360-hand (5-shoe) schedule: the 80-unit maximum wager restricts recovery at step 7, locking in a 18.60% stop-loss frequency and $385 in mathematical friction.
Under stochastic boundary rules in M420-2, pairing 2-1-2 Manhattan Progression with 200 units across 5 shoes (360 hands) and a 80-unit maximum calibrates a 18.60% stop-loss absorption rate, surviving at most 7 adverse steps before eight-deck profile truncation.
| M420 Parameter | 2-1-2 Manhattan (200u) | 5-Shoe drawdown-slope |
|---|---|---|
| 2-1-2 Manhattan Ladder | 2-1-2-3-4-5 (6 steps) | Peak 5u multiplier on M420 |
| 200u Stack Window | 360 hands (5 shoes) | Barriers -100u / +50u |
| 80u Ceiling & Ruin | 18.60% ruin vs 42.10% win | Depth 7 steps (2 cap hits) |
| 644u Handle & Hold | 7.70u ($385) | Multiplier 1.79x (bankroll-constrained drift) |
Audit M420-3 dissects the sequential envelope of 2-1-2 Manhattan when anchored to 200 units and a 360-hand (5-shoe) schedule: the 80-unit maximum wager restricts recovery at step 7, locking in a 18.60% stop-loss frequency and $385 in mathematical friction.
Under drawdown-weighted boundary rules in M420-4, pairing 2-1-2 Manhattan Progression with 200 units across 5 shoes (360 hands) and a 80-unit maximum evaluates a 18.60% stop-loss absorption rate, surviving at most 7 adverse steps before finite-shoe cadence truncation.
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.