In eight-deck comparative trial S339-0, running Fibonacci against D'Alembert for 72 hands of 5% Comm Chop (chop) on 60 units quantifies 2.20u vs 1.31u in expected toll and 18.73% vs 9.70% ruin under a 50-unit pit limit. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S339 (Fibonacci vs D'Alembert, Single-Alternating Chop under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track 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.
Stress cell S339 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 72 hands.
Probability of exhausting the 60-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 72 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.52% tie frequency (7 pushes) and 1.06u in vigorish friction.
Under 5% Comm Chop (1.0579% effective edge), table-capped stress run S339-1 over 72 hands and a 60-unit treasury computes a -22u drawdown (18.73% ruin) for Fibonacci Negative Sequence against -14u (9.70% ruin) for D'Alembert Pyramid inside a 50-unit cap.
In step-indexed comparative trial S339-2, running Fibonacci against D'Alembert for 72 hands of 5% Comm Chop (chop) on 60 units maps 2.20u vs 1.31u in expected toll and 18.73% vs 9.70% ruin under a 50-unit pit limit.
| S339 volatility-band | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 72-Hand Ruin (60u) | 18.73% | 9.70% |
| 5% Comm Chop Hold (1.0579%) | 2.20u | 1.31u |
| 2-Run Trough (50u Cap) | -22u | -14u |
Under 5% Comm Chop (1.0579% effective edge), non-stationary stress run S339-3 over 72 hands and a 60-unit treasury evaluates a -22u drawdown (18.73% ruin) for Fibonacci Negative Sequence against -14u (9.70% ruin) for D'Alembert Pyramid inside a 50-unit cap.
In variance-scaled comparative trial S339-4, running Fibonacci against D'Alembert for 72 hands of 5% Comm Chop (chop) on 60 units charts 2.20u vs 1.31u in expected toll and 18.73% vs 9.70% ruin under a 50-unit pit limit.
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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.
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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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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.