Case M151-0 benchmarks the absorbing-barrier Paroli 3-Step Press (1-2-4-reset) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 32.23% ruin rate while profiles an average stake footprint of 1.08x and 0.89u ($22) 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 M151 (Paroli 3-Step Press, 20u 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 M151 tests Paroli 3-Step Press with a $25 base unit and -10u/+6u absorbing boundaries.
Probability of hitting the -10u drawdown barrier before completing 72 hands or reaching +6u.
Share of 72-hand trajectories reaching the +6u session ceiling, with 33.98% ending between barriers.
A 40-unit house limit and 20-unit stack cap Paroli escalation after 5 adverse coups.
Derived from 78u total action (1.08x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In bankroll-constrained benchmark M151-1, running Paroli across 72 deals with 20 units and a 40-unit maximum wager models 78u of total handle, 0.89u in commission-weighted drift, and a 32.23% probability of exhausting the 10-unit drawdown buffer.
Case M151-2 computes the capital-bounded Paroli 3-Step Press (1-2-4-reset) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 32.23% ruin rate while benchmarks an average stake cadence of 1.08x and 0.89u ($22) in theoretical house-edge toll.
| M151 Parameter | Paroli (20u) | 1-Shoe dispersion |
|---|---|---|
| Paroli Ladder | 1-2-4-reset (3 steps) | Peak 4u multiplier on M151 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 32.23% ruin vs 33.79% win | Depth 5 steps (1 cap hits) |
| 78u Handle & Hold | 0.89u ($22) | Multiplier 1.08x (drawdown-weighted drift) |
In discrete-time benchmark M151-3, running Paroli across 72 deals with 20 units and a 40-unit maximum wager inspects 78u of total handle, 0.89u in commission-weighted drift, and a 32.23% probability of exhausting the 10-unit drawdown buffer.
Case M151-4 verifies the commission-adjusted Paroli 3-Step Press (1-2-4-reset) across a 20-unit bankroll and a 72-hand (1-shoe) window, where a 40-unit table ceiling and 10-unit stop-loss produce a 32.23% ruin rate while calibrates an average stake escalation of 1.08x and 0.89u ($22) 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.
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.