For a 300-unit roll spanning 72 hands (1 shoes), 1-2-3-5 Four-Step Ladder (1-2-3-5) measures a sequential decay-rate under matrix M221-0, where the 40-unit table roof and -150u/+75u barriers yield 2.61% ruin versus 44.94% upside completion. 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 M221 (1-2-3-5 Four-Step Ladder, 300u 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.
Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Matrix cell M221 tests 1-2-3-5 Four-Step Ladder with a $25 base unit and -150u/+75u absorbing boundaries.
Probability of hitting the -150u drawdown barrier before completing 72 hands or reaching +75u.
Share of 72-hand trajectories reaching the +75u session ceiling, with 52.46% ending between barriers.
A 40-unit house limit and 300-unit stack cap 1-2-3-5 escalation after 6 adverse coups.
Derived from 125u total action (1.74x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Combinatorial ledger M221-1 maps 1-2-3-5 (1-2-3-5) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 1.74x average bet multiplier yield 2.61% ruin probability and 1.47u in theoretical house hold.
For a 300-unit roll spanning 72 hands (1 shoes), 1-2-3-5 Four-Step Ladder (1-2-3-5) documents a multi-coup threshold under matrix M221-2, where the 40-unit table roof and -150u/+75u barriers yield 2.61% ruin versus 44.94% upside completion.
| M221 Parameter | 1-2-3-5 (300u) | 1-Shoe ledger |
|---|---|---|
| 1-2-3-5 Ladder | 1-2-3-5 (4 steps) | Peak 5u multiplier on M221 |
| 300u Stack Window | 72 hands (1 shoes) | Barriers -150u / +75u |
| 40u Ceiling & Ruin | 2.61% ruin vs 44.94% win | Depth 6 steps (1 cap hits) |
| 125u Handle & Hold | 1.47u ($37) | Multiplier 1.74x (session-bounded drift) |
Combinatorial ledger M221-3 benchmarks 1-2-3-5 (1-2-3-5) at 300 units and 72 hands (1 shoes), proving that a 40-unit table ceiling and 1.74x average bet multiplier yield 2.61% ruin probability and 1.47u in theoretical house hold.
For a 300-unit roll spanning 72 hands (1 shoes), 1-2-3-5 Four-Step Ladder (1-2-3-5) models a session-bounded footprint under matrix M221-4, where the 40-unit table roof and -150u/+75u barriers yield 2.61% ruin versus 44.94% upside completion.
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.