In head-to-head trial S397-0 across 78 deals (5% Comm High-Tie, 1.0579% edge), Paroli records a -22u peak escalation and 13.71% ruin probability on a 75-unit stack, whereas 2-1-2 Manhattan logs a -15u trough and 7.75% ruin under the 50-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 S397 (Paroli vs 2-1-2 Manhattan, 16% High-Tie Cluster Shoe 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.
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.
Stress cell S397 compares 1-2-4-reset against 2-1-2-3-4-5 over 78 hands.
Probability of exhausting the 75-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 78 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 16.67% tie frequency (13 pushes) and 0.57u in vigorish friction.
Within finite-shoe testbed S397-1, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager tabulates 13.71% ruin (1.19u expected loss) on Paroli 3-Step Press versus 7.75% ruin (1.24u expected loss) on 2-1-2 Manhattan Progression.
In head-to-head trial S397-2 across 78 deals (5% Comm High-Tie, 1.0579% edge), Paroli records a -22u peak exposure and 13.71% ruin probability on a 75-unit stack, whereas 2-1-2 Manhattan logs a -15u trough and 7.75% ruin under the 50-unit limit.
| S397 progression-curve | Paroli | 2-1-2 Manhattan |
|---|---|---|
| Paroli / 2-1-2 Manhattan Rule | 1-2-4-reset | 2-1-2-3-4-5 |
| 78-Hand Ruin (75u) | 13.71% | 7.75% |
| 5% Comm High-Tie Hold (1.0579%) | 1.19u | 1.24u |
| 4-Run Trough (50u Cap) | -22u | -15u |
Within multi-coup testbed S397-3, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager measures 13.71% ruin (1.19u expected loss) on Paroli 3-Step Press versus 7.75% ruin (1.24u expected loss) on 2-1-2 Manhattan Progression.
In head-to-head trial S397-4 across 78 deals (5% Comm High-Tie, 1.0579% edge), Paroli records a -22u peak profile and 13.71% ruin probability on a 75-unit stack, whereas 2-1-2 Manhattan logs a -15u trough and 7.75% ruin under the 50-unit 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.
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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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.
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Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).