Case M301-0 models the bankroll-constrained Contra D'Alembert Press (+1 on win / -1 on loss) 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 37.86% ruin rate while audits an average stake excursion of 1.12x and 0.98u ($25) 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 M301 (Contra D'Alembert 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
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 M301 tests Contra D'Alembert 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 29.93% ending between barriers.
A 40-unit house limit and 20-unit stack cap Contra D'Alembert escalation after 5 adverse coups.
Derived from 81u total action (1.12x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In capital-bounded benchmark M301-1, running Contra D'Alembert across 72 deals with 20 units and a 40-unit maximum wager computes 81u of total handle, 0.98u in commission-weighted drift, and a 37.86% probability of exhausting the 10-unit drawdown buffer.
Case M301-2 inspects the discrete-time Contra D'Alembert Press (+1 on win / -1 on loss) 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 37.86% ruin rate while verifies an average stake turnover of 1.12x and 0.98u ($25) in theoretical house-edge toll.
| M301 Parameter | Contra D'Alembert (20u) | 1-Shoe absorption-curve |
|---|---|---|
| Contra D'Alembert Ladder | +1 on win / -1 on loss (10 steps) | Peak 10u multiplier on M301 |
| 20u Stack Window | 72 hands (1 shoes) | Barriers -10u / +6u |
| 40u Ceiling & Ruin | 37.86% ruin vs 32.21% win | Depth 5 steps (1 cap hits) |
| 81u Handle & Hold | 0.98u ($25) | Multiplier 1.12x (multi-coup drift) |
In commission-adjusted benchmark M301-3, running Contra D'Alembert across 72 deals with 20 units and a 40-unit maximum wager verifies 81u of total handle, 0.98u in commission-weighted drift, and a 37.86% probability of exhausting the 10-unit drawdown buffer.
Case M301-4 tabulates the asymmetric Contra D'Alembert Press (+1 on win / -1 on loss) 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 37.86% ruin rate while tracks an average stake decay-rate of 1.12x and 0.98u ($25) 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.