Benchmark S345-0 dissects the step-indexed excursion between Fibonacci and D'Alembert over 144 hands of EZ Dragon Chop: with 100 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 21.38% vs 13.02% while eight-deck decay-rate reaches -26u. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S345 (Fibonacci vs D'Alembert, Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push). 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.
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.
Stress cell S345 compares 1-1-2-3-5-8-13-21-34 against +1 on loss / -1 on win over 144 hands.
Probability of exhausting the 100-unit bankroll under a 75-unit house bet limit.
Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 144 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.72% tie frequency (14 pushes) and 2.05u in vigorish friction.
When EZ Dragon Chop (chop) injects a 3-hand extreme run and 14 tie pushes (9.72% Tie density) over 144 coups, non-stationary audit S345-1 quantifies Fibonacci Negative Sequence at 4.28u expected erosion (21.38% ruin) compared with 2.56u (13.02% ruin) for D'Alembert Pyramid on 100 units.
Benchmark S345-2 computes the variance-scaled turnover between Fibonacci and D'Alembert over 144 hands of EZ Dragon Chop: with 100 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 21.38% vs 13.02% while bankroll-constrained distribution reaches -26u.
| S345 threshold | Fibonacci | D'Alembert |
|---|---|---|
| Fibonacci / D'Alembert Rule | 1-1-2-3-5-8-13-21-34 | +1 on loss / -1 on win |
| 144-Hand Ruin (100u) | 21.38% | 13.02% |
| EZ Dragon Chop Hold (1.0284%) | 4.28u | 2.56u |
| 3-Run Trough (75u Cap) | -26u | -17u |
When EZ Dragon Chop (chop) injects a 3-hand extreme run and 14 tie pushes (9.72% Tie density) over 144 coups, combinatorial audit S345-3 maps Fibonacci Negative Sequence at 4.28u expected erosion (21.38% ruin) compared with 2.56u (13.02% ruin) for D'Alembert Pyramid on 100 units.
Benchmark S345-4 evaluates the session-bounded decay-rate between Fibonacci and D'Alembert over 144 hands of EZ Dragon Chop: with 100 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 21.38% vs 13.02% while discrete-time survival-window reaches -26u.
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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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.