Under house-edge-anchored boundary rules in M156-0, pairing Paroli 3-Step Press with 40 units across 1 shoes (72 hands) and a 40-unit maximum computes a 18.15% stop-loss absorption rate, surviving at most 5 adverse steps before eight-deck footprint truncation. 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 M156 (Paroli 3-Step Press, 40u 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 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 M156 tests Paroli 3-Step Press with a $25 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 72 hands or reaching +10u.
Share of 72-hand trajectories reaching the +10u session ceiling, with 41.27% ending between barriers.
A 40-unit house limit and 40-unit stack cap Paroli escalation after 5 adverse coups.
Derived from 84u total action (1.16x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Audit M156-1 inspects the stochastic envelope of Paroli when anchored to 40 units and a 72-hand (1-shoe) schedule: the 40-unit maximum wager restricts recovery at step 5, locking in a 18.15% stop-loss frequency and $24 in mathematical friction.
Under sequential boundary rules in M156-2, pairing Paroli 3-Step Press with 40 units across 1 shoes (72 hands) and a 40-unit maximum verifies a 18.15% stop-loss absorption rate, surviving at most 5 adverse steps before finite-shoe turnover truncation.
| M156 Parameter | Paroli (40u) | 1-Shoe turnover |
|---|---|---|
| Paroli Ladder | 1-2-4-reset (3 steps) | Peak 4u multiplier on M156 |
| 40u Stack Window | 72 hands (1 shoes) | Barriers -20u / +10u |
| 40u Ceiling & Ruin | 18.15% ruin vs 40.58% win | Depth 5 steps (1 cap hits) |
| 84u Handle & Hold | 0.96u ($24) | Multiplier 1.16x (absorbing-barrier drift) |
Audit M156-3 tabulates the drawdown-weighted trajectory of Paroli when anchored to 40 units and a 72-hand (1-shoe) schedule: the 40-unit maximum wager restricts recovery at step 5, locking in a 18.15% stop-loss frequency and $24 in mathematical friction.
Under multi-coup boundary rules in M156-4, pairing Paroli 3-Step Press with 40 units across 1 shoes (72 hands) and a 40-unit maximum quantifies a 18.15% stop-loss absorption rate, surviving at most 5 adverse steps before stochastic progression-curve truncation.
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.