Case M401-0 tracks the table-capped 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 36.46% ruin rate while calibrates an average stake cadence of 1.10x and 0.94u ($24) 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 M401 (2-1-2 Manhattan Progression, 20u bankroll, 72 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 M401 tests 2-1-2 Manhattan Progression with a $25 base unit and -10u/+6u absorbing boundaries.
Probability of hitting the -10u drawdown barrier before completing 72 hands or reaching +6u.
Share of 72-hand trajectories reaching the +6u session ceiling, with 30.94% ending between barriers.
A 40-unit house limit and 20-unit stack cap 2-1-2 Manhattan escalation after 5 adverse coups.
Derived from 79u total action (1.10x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In house-edge-anchored benchmark M401-1, running 2-1-2 Manhattan across 72 deals with 20 units and a 40-unit maximum wager measures 79u of total handle, 0.94u in commission-weighted drift, and a 36.46% probability of exhausting the 10-unit drawdown buffer.
Case M401-2 maps the stochastic 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 36.46% ruin rate while models an average stake escalation of 1.10x and 0.94u ($24) in theoretical house-edge toll.
| M401 Parameter | 2-1-2 Manhattan (20u) | 1-Shoe survival-window |
|---|---|---|
| 2-1-2 Manhattan Ladder | 2-1-2-3-4-5 (6 steps) | Peak 5u multiplier on M401 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 36.46% ruin vs 32.60% win | Depth 5 steps (1 cap hits) |
| 79u Handle & Hold | 0.94u ($24) | Multiplier 1.10x (bankroll-constrained drift) |
In sequential benchmark M401-3, running 2-1-2 Manhattan across 72 deals with 20 units and a 40-unit maximum wager documents 79u of total handle, 0.94u in commission-weighted drift, and a 36.46% probability of exhausting the 10-unit drawdown buffer.
Case M401-4 benchmarks the drawdown-weighted 2-1-2 Manhattan Progression (2-1-2-3-4-5) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 36.46% ruin rate while dissects an average stake exposure of 1.10x and 0.94u ($24) 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.
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.