Case M308-0 measures the combinatorial Contra D'Alembert Press (+1 on win / -1 on loss) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while tracks an average stake ledger of 1.25x and 10.85u ($1085) 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 M308 (Contra D'Alembert Press, 40u bankroll, 720 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 M308 tests Contra D'Alembert Press with a $100 base unit and -20u/+10u absorbing boundaries.
Probability of hitting the -20u drawdown barrier before completing 720 hands or reaching +10u.
Share of 720-hand trajectories reaching the +10u session ceiling, with 0.50% ending between barriers.
A 100-unit house limit and 40-unit stack cap Contra D'Alembert escalation after 6 adverse coups.
Derived from 900u total action (1.25x average wager) multiplied by the 1.0579% 8-deck Banker edge.
In non-stationary benchmark M308-1, running Contra D'Alembert across 720 deals with 40 units and a 100-unit maximum wager maps 900u of total handle, 10.85u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M308-2 documents the table-capped Contra D'Alembert Press (+1 on win / -1 on loss) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while tabulates an average stake excursion of 1.25x and 10.85u ($1085) in theoretical house-edge toll.
| M308 Parameter | Contra D'Alembert (40u) | 10-Shoe profile |
|---|---|---|
| Contra D'Alembert Ladder | +1 on win / -1 on loss (10 steps) | Peak 10u multiplier on M308 |
| 40u Stack Window | 720 hands (10 shoes) | Barriers -20u / +10u |
| 100u Ceiling & Ruin | 94.80% ruin vs 19.94% win | Depth 6 steps (5 cap hits) |
| 900u Handle & Hold | 10.85u ($1085) | Multiplier 1.25x (absorbing-barrier drift) |
In house-edge-anchored benchmark M308-3, running Contra D'Alembert across 720 deals with 40 units and a 100-unit maximum wager benchmarks 900u of total handle, 10.85u in commission-weighted drift, and a 94.80% probability of exhausting the 20-unit drawdown buffer.
Case M308-4 models the stochastic Contra D'Alembert Press (+1 on win / -1 on loss) across a 40-unit bankroll and a 720-hand (10-shoe) window, where a 100-unit table ceiling and 20-unit stop-loss produce a 94.80% ruin rate while measures an average stake turnover of 1.25x and 10.85u ($1085) 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.
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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.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.