Across 216 eight-deck hands (3 shoes), asymmetric simulation M412-0 for 2-1-2 Manhattan Progression on a 75-unit bankroll measures a 28.50% risk-of-ruin figure, tracks 1 ceiling-collision events against the 60-unit cap and a 33.40% 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 M412 (2-1-2 Manhattan Progression, 75u bankroll, 216 hands). Big Road and Bead Plate show Banker (red) and Player (blue); derived roads record structural symmetry.
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.
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 M412 tests 2-1-2 Manhattan Progression 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 33.40% ending between barriers.
A 60-unit house limit and 75-unit stack cap 2-1-2 Manhattan escalation after 6 adverse coups.
Derived from 300u total action (1.39x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M412-1 maps the combinatorial ledger of a 75-unit 2-1-2 Manhattan 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 300u and sets ruin at 28.50%.
Across 216 eight-deck hands (3 shoes), non-stationary simulation M412-2 for 2-1-2 Manhattan Progression on a 75-unit bankroll documents a 28.50% risk-of-ruin figure, tabulates 1 ceiling-collision events against the 60-unit cap and a 33.40% mid-corridor finish rate.
| M412 Parameter | 2-1-2 Manhattan (75u) | 3-Shoe cycle-span |
|---|---|---|
| 2-1-2 Manhattan Ladder | 2-1-2-3-4-5 (6 steps) | Peak 5u multiplier on M412 |
| 75u Stack Window | 216 hands (3 shoes) | Barriers -38u / +19u |
| 60u Ceiling & Ruin | 28.50% ruin vs 38.10% win | Depth 6 steps (1 cap hits) |
| 300u Handle & Hold | 3.59u ($180) | Multiplier 1.39x (asymmetric drift) |
Cell M412-3 benchmarks the table-capped excursion of a 75-unit 2-1-2 Manhattan 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 300u and sets ruin at 28.50%.
Across 216 eight-deck hands (3 shoes), house-edge-anchored simulation M412-4 for 2-1-2 Manhattan Progression on a 75-unit bankroll models a 28.50% risk-of-ruin figure, measures 1 ceiling-collision events against the 60-unit cap and a 33.40% 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.