In head-to-head trial S323-0 across 288 deals (4-Shoe Chop, 1.0579% edge), Martingale records a -27u peak volatility-band and 38.80% ruin probability on a 160-unit stack, whereas Paroli logs a -14u trough and 12.90% ruin under the 100-unit 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 S323 (Martingale vs Paroli, Four-Shoe Alternating Sawtooth under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
Stress cell S323 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 288 hands.
Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.38% tie frequency (27 pushes) and 6.54u in vigorish friction.
Within combinatorial testbed S323-1, a 160-unit bankroll facing 288 coups of 4-Shoe Chop (chop) and a 100-unit maximum wager audits 38.80% ruin (13.63u expected loss) on Martingale Doubling versus 12.90% ruin (4.25u expected loss) on Paroli 3-Step Press.
In head-to-head trial S323-2 across 288 deals (4-Shoe Chop, 1.0579% edge), Martingale records a -27u peak survival-window and 38.80% ruin probability on a 160-unit stack, whereas Paroli logs a -14u trough and 12.90% ruin under the 100-unit limit.
| S323 cycle-span | Martingale | Paroli |
|---|---|---|
| Martingale / Paroli Rule | 1-2-4-8-16-32-64 | 1-2-4-reset |
| 288-Hand Ruin (160u) | 38.80% | 12.90% |
| 4-Shoe Chop Hold (1.0579%) | 13.63u | 4.25u |
| 3-Run Trough (100u Cap) | -27u | -14u |
Within asymmetric testbed S323-3, a 160-unit bankroll facing 288 coups of 4-Shoe Chop (chop) and a 100-unit maximum wager verifies 38.80% ruin (13.63u expected loss) on Martingale Doubling versus 12.90% ruin (4.25u expected loss) on Paroli 3-Step Press.
In head-to-head trial S323-4 across 288 deals (4-Shoe Chop, 1.0579% edge), Martingale records a -27u peak progression-curve and 38.80% ruin probability on a 160-unit stack, whereas Paroli logs a -14u trough and 12.90% ruin under the 100-unit limit.
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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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.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.