Across 360 eight-deck hands (5 shoes), session-bounded simulation M280-0 for D'Alembert Pyramid on a 30-unit bankroll inspects a 94.80% risk-of-ruin figure, inspects 4 ceiling-collision events against the 80-unit cap and a 0.50% 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 M280 (D'Alembert Pyramid, 30u 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.
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 M280 tests D'Alembert Pyramid with a $50 base unit and -15u/+8u absorbing boundaries.
Probability of hitting the -15u drawdown barrier before completing 360 hands or reaching +8u.
Share of 360-hand trajectories reaching the +8u session ceiling, with 0.50% ending between barriers.
A 80-unit house limit and 30-unit stack cap D'Alembert escalation after 5 adverse coups.
Derived from 443u total action (1.23x average wager) multiplied by the 1.0579% 8-deck Banker edge.
Cell M280-1 verifies the variance-scaled distribution of a 30-unit D'Alembert plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 443u and sets ruin at 94.80%.
Across 360 eight-deck hands (5 shoes), step-indexed simulation M280-2 for D'Alembert Pyramid on a 30-unit bankroll tabulates a 94.80% risk-of-ruin figure, audits 4 ceiling-collision events against the 80-unit cap and a 0.50% mid-corridor finish rate.
| M280 Parameter | D'Alembert (30u) | 5-Shoe stake-velocity |
|---|---|---|
| D'Alembert Ladder | +1 on loss / -1 on win (10 steps) | Peak 12u multiplier on M280 |
| 30u Stack Window | 360 hands (5 shoes) | Barriers -15u / +8u |
| 80u Ceiling & Ruin | 94.80% ruin vs 19.77% win | Depth 5 steps (4 cap hits) |
| 443u Handle & Hold | 5.67u ($284) | Multiplier 1.23x (finite-shoe drift) |
Cell M280-3 quantifies the eight-deck envelope of a 30-unit D'Alembert plan over 360 hands: because each hand remains independent at 1.058% Banker edge, scaling stakes toward the 80-unit ceiling elevates total turnover to 443u and sets ruin at 94.80%.
Across 360 eight-deck hands (5 shoes), absorbing-barrier simulation M280-4 for D'Alembert Pyramid on a 30-unit bankroll charts a 94.80% risk-of-ruin figure, verifies 4 ceiling-collision events against the 80-unit cap and a 0.50% 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.
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).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.