Case M315-0 dissects the sequential Contra D'Alembert Press (+1 on win / -1 on loss) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 37.86% ruin rate while measures an average stake progression-curve of 1.62x and 7.03u ($352) 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 M315 (Contra D'Alembert Press, 100u bankroll, 360 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 M315 tests Contra D'Alembert Press with a $50 base unit and -50u/+25u absorbing boundaries.
Probability of hitting the -50u drawdown barrier before completing 360 hands or reaching +25u.
Share of 360-hand trajectories reaching the +25u session ceiling, with 25.44% ending between barriers.
A 80-unit house limit and 100-unit stack cap Contra D'Alembert escalation after 7 adverse coups.
Derived from 583u total action (1.62x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In drawdown-weighted benchmark M315-1, running Contra D'Alembert across 360 deals with 100 units and a 80-unit maximum wager evaluates 583u of total handle, 7.03u in commission-weighted drift, and a 37.86% probability of exhausting the 50-unit drawdown buffer.
Case M315-2 audits the multi-coup Contra D'Alembert Press (+1 on win / -1 on loss) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 37.86% ruin rate while quantifies an average stake ledger of 1.62x and 7.03u ($352) in theoretical house-edge toll.
| M315 Parameter | Contra D'Alembert (100u) | 5-Shoe excursion |
|---|---|---|
| Contra D'Alembert Ladder | +1 on win / -1 on loss (10 steps) | Peak 10u multiplier on M315 |
| 100u Stack Window | 360 hands (5 shoes) | Barriers -50u / +25u |
| 80u Ceiling & Ruin | 37.86% ruin vs 36.71% win | Depth 7 steps (3 cap hits) |
| 583u Handle & Hold | 7.03u ($352) | Multiplier 1.62x (combinatorial drift) |
In finite-shoe benchmark M315-3, running Contra D'Alembert across 360 deals with 100 units and a 80-unit maximum wager tracks 583u of total handle, 7.03u in commission-weighted drift, and a 37.86% probability of exhausting the 50-unit drawdown buffer.
Case M315-4 measures the session-bounded Contra D'Alembert Press (+1 on win / -1 on loss) across a 100-unit bankroll and a 360-hand (5-shoe) window, where a 80-unit table ceiling and 50-unit stop-loss produce a 37.86% ruin rate while maps an average stake excursion of 1.62x and 7.03u ($352) 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.
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.
Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).