Case M201-0 quantifies the multi-coup 1-2-3-5 Four-Step Ladder (1-2-3-5) 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 34.27% ruin rate while maps an average stake drawdown-slope of 1.10x and 0.93u ($23) 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 M201 (1-2-3-5 Four-Step Ladder, 20u bankroll, 72 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 M201 tests 1-2-3-5 Four-Step Ladder 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 32.52% ending between barriers.
A 40-unit house limit and 20-unit stack cap 1-2-3-5 escalation after 5 adverse coups.
Derived from 79u total action (1.10x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In finite-shoe benchmark M201-1, running 1-2-3-5 across 72 deals with 20 units and a 40-unit maximum wager charts 79u of total handle, 0.93u in commission-weighted drift, and a 34.27% probability of exhausting the 10-unit drawdown buffer.
Case M201-2 profiles the session-bounded 1-2-3-5 Four-Step Ladder (1-2-3-5) 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 34.27% ruin rate while charts an average stake volatility-band of 1.10x and 0.93u ($23) in theoretical house-edge toll.
| M201 Parameter | 1-2-3-5 (20u) | 1-Shoe envelope |
|---|---|---|
| 1-2-3-5 Ladder | 1-2-3-5 (4 steps) | Peak 5u multiplier on M201 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 34.27% ruin vs 33.22% win | Depth 5 steps (1 cap hits) |
| 79u Handle & Hold | 0.93u ($23) | Multiplier 1.10x (combinatorial drift) |
In variance-scaled benchmark M201-3, running 1-2-3-5 across 72 deals with 20 units and a 40-unit maximum wager calibrates 79u of total handle, 0.93u in commission-weighted drift, and a 34.27% probability of exhausting the 10-unit drawdown buffer.
Case M201-4 dissects the step-indexed 1-2-3-5 Four-Step Ladder (1-2-3-5) 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 34.27% ruin rate while documents an average stake survival-window of 1.10x and 0.93u ($23) 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.
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).