Across 216 eight-deck hands (3 shoes), stochastic simulation M212-0 for 1-2-3-5 Four-Step Ladder on a 75-unit bankroll charts a 29.04% risk-of-ruin figure, computes 1 ceiling-collision events against the 60-unit cap and a 33.01% 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 M212 (1-2-3-5 Four-Step Ladder, 75u 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 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 M212 tests 1-2-3-5 Four-Step Ladder with a $50 base unit and -38u/+19u absorbing boundaries.
Probability of hitting the -38u drawdown barrier before completing 216 hands or reaching +19u.
Share of 216-hand trajectories reaching the +19u session ceiling, with 33.01% ending between barriers.
A 60-unit house limit and 75-unit stack cap 1-2-3-5 escalation after 6 adverse coups.
Derived from 294u total action (1.36x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M212-1 profiles the sequential envelope of a 75-unit 1-2-3-5 plan over 216 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 60-unit ceiling elevates total turnover to 294u and sets ruin at 29.04%.
Across 216 eight-deck hands (3 shoes), drawdown-weighted simulation M212-2 for 1-2-3-5 Four-Step Ladder on a 75-unit bankroll calibrates a 29.04% risk-of-ruin figure, evaluates 1 ceiling-collision events against the 60-unit cap and a 33.01% mid-corridor finish rate.
| M212 Parameter | 1-2-3-5 (75u) | 3-Shoe escalation |
|---|---|---|
| 1-2-3-5 Ladder | 1-2-3-5 (4 steps) | Peak 5u multiplier on M212 |
| 75u Stack Window | 216 hands (3 shoes) | Barriers -38u / +19u |
| 60u Ceiling & Ruin | 29.04% ruin vs 37.95% win | Depth 6 steps (1 cap hits) |
| 294u Handle & Hold | 3.45u ($173) | Multiplier 1.36x (stochastic drift) |
Cell M212-3 dissects the multi-coup trajectory of a 75-unit 1-2-3-5 plan over 216 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 60-unit ceiling elevates total turnover to 294u and sets ruin at 29.04%.
Across 216 eight-deck hands (3 shoes), finite-shoe simulation M212-4 for 1-2-3-5 Four-Step Ladder on a 75-unit bankroll evaluates a 29.04% risk-of-ruin figure, inspects 1 ceiling-collision events against the 60-unit cap and a 33.01% 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.
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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.
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.