Within absorbing-barrier horizon M311-0, a 75-unit treasury backing Contra D'Alembert Press for 72 hands (1 shoes) faces a 40-unit bet cap that tabulates 9.70% ruin exposure, 42.95% target attainment at +19u, and 47.35% time-limit expiration. 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 M311 (Contra D'Alembert Press, 75u 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 M311 tests Contra D'Alembert Press with a $25 base unit and -38u/+19u absorbing boundaries.
Probability of hitting the -38u drawdown barrier before completing 72 hands or reaching +19u.
Share of 72-hand trajectories reaching the +19u session ceiling, with 47.35% ending between barriers.
A 40-unit house limit and 75-unit stack cap Contra D'Alembert escalation after 6 adverse coups.
Derived from 106u total action (1.47x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Horizon matrix M311-1 quantifies how Contra D'Alembert (+1 on win / -1 on loss) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 9.70% drawdown-trigger rate alongside 1.28u in expected 8-deck vigorish.
Within capital-bounded horizon M311-2, a 75-unit treasury backing Contra D'Alembert Press for 72 hands (1 shoes) faces a 40-unit bet cap that charts 9.70% ruin exposure, 42.95% target attainment at +19u, and 47.35% time-limit expiration.
| M311 Parameter | Contra D'Alembert (75u) | 1-Shoe progression-curve |
|---|---|---|
| Contra D'Alembert Ladder | +1 on win / -1 on loss (10 steps) | Peak 10u multiplier on M311 |
| 75u Stack Window | 72 hands (1 shoes) | Barriers -38u / +19u |
| 40u Ceiling & Ruin | 9.70% ruin vs 42.95% win | Depth 6 steps (1 cap hits) |
| 106u Handle & Hold | 1.28u ($32) | Multiplier 1.47x (table-capped drift) |
Horizon matrix M311-3 profiles how Contra D'Alembert (+1 on win / -1 on loss) behaves inside a 75-unit session budget across 72 coups, showing that a 40-unit pit limit and 38-unit floor generate a 9.70% drawdown-trigger rate alongside 1.28u in expected 8-deck vigorish.
Within commission-adjusted horizon M311-4, a 75-unit treasury backing Contra D'Alembert Press for 72 hands (1 shoes) faces a 40-unit bet cap that calibrates 9.70% ruin exposure, 42.95% target attainment at +19u, and 47.35% time-limit expiration.
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.
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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.