Case M222-0 evaluates the house-edge-anchored 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 7.45% ruin rate while models an average stake capital-runway of 1.74x and 4.42u ($221) 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 M222 (1-2-3-5 Four-Step Ladder, 300u bankroll, 216 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 M222 tests 1-2-3-5 Four-Step Ladder with a $50 base unit and -150u/+75u absorbing boundaries.
Probability of hitting the -150u drawdown barrier before completing 216 hands or reaching +75u.
Share of 216-hand trajectories reaching the +75u session ceiling, with 48.56% ending between barriers.
A 60-unit house limit and 300-unit stack cap 1-2-3-5 escalation after 6 adverse coups.
Derived from 376u total action (1.74x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In stochastic benchmark M222-1, running 1-2-3-5 across 216 deals with 300 units and a 60-unit maximum wager audits 376u of total handle, 4.42u in commission-weighted drift, and a 7.45% probability of exhausting the 150-unit drawdown buffer.
Case M222-2 tracks the sequential 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 7.45% ruin rate while dissects an average stake absorption-curve of 1.74x and 4.42u ($221) in theoretical house-edge toll.
| M222 Parameter | 1-2-3-5 (300u) | 3-Shoe distribution |
|---|---|---|
| 1-2-3-5 Ladder | 1-2-3-5 (4 steps) | Peak 5u multiplier on M222 |
| 300u Stack Window | 216 hands (3 shoes) | Barriers -150u / +75u |
| 60u Ceiling & Ruin | 7.45% ruin vs 43.99% win | Depth 6 steps (1 cap hits) |
| 376u Handle & Hold | 4.42u ($221) | Multiplier 1.74x (asymmetric drift) |
In drawdown-weighted benchmark M222-3, running 1-2-3-5 across 216 deals with 300 units and a 60-unit maximum wager measures 376u of total handle, 4.42u in commission-weighted drift, and a 7.45% probability of exhausting the 150-unit drawdown buffer.
Case M222-4 maps the multi-coup 1-2-3-5 Four-Step Ladder (1-2-3-5) across a 300-unit bankroll and a 216-hand (3-shoe) window, where a 60-unit table ceiling and 150-unit stop-loss produce a 7.45% ruin rate while computes an average stake stake-velocity of 1.74x and 4.42u ($221) 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.
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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.