Across 360 eight-deck hands (5 shoes), absorbing-barrier simulation M405-0 for 2-1-2 Manhattan Progression on a 30-unit bankroll models a 94.80% risk-of-ruin figure, audits 2 ceiling-collision events against the 80-unit cap and a 0.50% 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 M405 (2-1-2 Manhattan Progression, 30u 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 M405 tests 2-1-2 Manhattan Progression with a $50 base unit and -15u/+8u absorbing boundaries.
Probability of hitting the -15u drawdown barrier before completing 360 hands or reaching +8u.
Share of 360-hand trajectories reaching the +8u session ceiling, with 0.50% ending between barriers.
A 80-unit house limit and 30-unit stack cap 2-1-2 Manhattan escalation after 5 adverse coups.
Derived from 418u total action (1.16x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M405-1 computes the bankroll-constrained excursion of a 30-unit 2-1-2 Manhattan plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 418u and sets ruin at 94.80%.
Across 360 eight-deck hands (5 shoes), capital-bounded simulation M405-2 for 2-1-2 Manhattan Progression on a 30-unit bankroll inspects a 94.80% risk-of-ruin figure, verifies 2 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.
| M405 Parameter | 2-1-2 Manhattan (30u) | 5-Shoe ledger |
|---|---|---|
| 2-1-2 Manhattan Ladder | 2-1-2-3-4-5 (6 steps) | Peak 5u multiplier on M405 |
| 30u Stack Window | 360 hands (5 shoes) | Barriers -15u / +8u |
| 80u Ceiling & Ruin | 94.80% ruin vs 19.77% win | Depth 5 steps (2 cap hits) |
| 418u Handle & Hold | 5.00u ($250) | Multiplier 1.16x (eight-deck drift) |
Cell M405-3 verifies the discrete-time turnover of a 30-unit 2-1-2 Manhattan plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 418u and sets ruin at 94.80%.
Across 360 eight-deck hands (5 shoes), commission-adjusted simulation M405-4 for 2-1-2 Manhattan Progression on a 30-unit bankroll tabulates a 94.80% risk-of-ruin figure, tracks 2 ceiling-collision events against the 80-unit cap and a 0.50% 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.
Plain-English answers on independent trials, progression variance, and scoreboard reading.
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).