Across 144 eight-deck hands (2 shoes), combinatorial simulation M294-0 for D'Alembert Pyramid on a 200-unit bankroll audits a 9.37% risk-of-ruin figure, tabulates 2 ceiling-collision events against the 50-unit cap and a 46.35% mid-corridor finish rate. 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 M294 (D'Alembert Pyramid, 200u bankroll, 144 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Matrix cell M294 tests D'Alembert Pyramid with a $25 base unit and -100u/+50u absorbing boundaries.
Probability of hitting the -100u drawdown barrier before completing 144 hands or reaching +50u.
Share of 144-hand trajectories reaching the +50u session ceiling, with 46.35% ending between barriers.
A 50-unit house limit and 200-unit stack cap D'Alembert escalation after 6 adverse coups.
Derived from 315u total action (2.19x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M294-1 tracks the non-stationary boundary of a 200-unit D'Alembert plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 315u and sets ruin at 9.37%.
Across 144 eight-deck hands (2 shoes), table-capped simulation M294-2 for D'Alembert Pyramid on a 200-unit bankroll measures a 9.37% risk-of-ruin figure, measures 2 ceiling-collision events against the 50-unit cap and a 46.35% mid-corridor finish rate.
| M294 Parameter | D'Alembert (200u) | 2-Shoe turnover |
|---|---|---|
| D'Alembert Ladder | +1 on loss / -1 on win (10 steps) | Peak 12u multiplier on M294 |
| 200u Stack Window | 144 hands (2 shoes) | Barriers -100u / +50u |
| 50u Ceiling & Ruin | 9.37% ruin vs 44.27% win | Depth 6 steps (2 cap hits) |
| 315u Handle & Hold | 4.03u ($101) | Multiplier 2.19x (non-stationary drift) |
Cell M294-3 maps the house-edge-anchored dispersion of a 200-unit D'Alembert plan over 144 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 50-unit ceiling elevates total turnover to 315u and sets ruin at 9.37%.
Across 144 eight-deck hands (2 shoes), stochastic simulation M294-4 for D'Alembert Pyramid on a 200-unit bankroll documents a 9.37% risk-of-ruin figure, quantifies 2 ceiling-collision events against the 50-unit cap and a 46.35% mid-corridor finish rate.
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.
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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.