Under finite-shoe boundary rules in M163-0, pairing Paroli 3-Step Press with 75 units across 10 shoes (720 hands) and a 100-unit maximum maps a 87.18% stop-loss absorption rate, surviving at most 5 adverse steps before step-indexed distribution 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 M163 (Paroli 3-Step Press, 75u bankroll, 720 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.
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.
Matrix cell M163 tests Paroli 3-Step Press with a $100 base unit and -38u/+19u absorbing boundaries.
Probability of hitting the -38u drawdown barrier before completing 720 hands or reaching +19u.
Share of 720-hand trajectories reaching the +19u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 75-unit stack cap Paroli escalation after 5 adverse coups.
Derived from 936u total action (1.30x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Audit M163-1 documents the session-bounded distribution of Paroli when anchored to 75 units and a 720-hand (10-shoe) schedule: the 100-unit maximum wager restricts recovery at step 5, locking in a 87.18% stop-loss frequency and $1069 in mathematical friction.
Under variance-scaled boundary rules in M163-2, pairing Paroli 3-Step Press with 75 units across 10 shoes (720 hands) and a 100-unit maximum benchmarks a 87.18% stop-loss absorption rate, surviving at most 5 adverse steps before multi-coup profile truncation.
| M163 Parameter | Paroli (75u) | 10-Shoe absorption-curve |
|---|---|---|
| Paroli Ladder | 1-2-4-reset (3 steps) | Peak 4u multiplier on M163 |
| 75u Stack Window | 720 hands (10 shoes) | Barriers -38u / +19u |
| 100u Ceiling & Ruin | 87.18% ruin vs 22.08% win | Depth 5 steps (2 cap hits) |
| 936u Handle & Hold | 10.69u ($1069) | Multiplier 1.30x (combinatorial drift) |
Audit M163-3 models the step-indexed envelope of Paroli when anchored to 75 units and a 720-hand (10-shoe) schedule: the 100-unit maximum wager restricts recovery at step 5, locking in a 87.18% stop-loss frequency and $1069 in mathematical friction.
Under eight-deck boundary rules in M163-4, pairing Paroli 3-Step Press with 75 units across 10 shoes (720 hands) and a 100-unit maximum computes a 87.18% stop-loss absorption rate, surviving at most 5 adverse steps before house-edge-anchored cadence 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.
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.
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.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.