When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, table-capped audit S132-0 quantifies Paroli 3-Step Press at 1.48u expected erosion (13.87% ruin) compared with 1.06u (5.93% ruin) for Flat 1-Unit Baseline on 65 units. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S132 (Paroli vs Flat Betting, Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay). 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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 S132 compares 1-2-4-reset against 1-1-1-1 constant unit over 70 hands.
Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.55% tie frequency (7 pushes) and 0.92u in vigorish friction.
Benchmark S132-1 computes the step-indexed stake-velocity between Paroli and Flat Betting over 70 hands of No-Comm Chop: with 65 units, a 50-unit cap, and 1.4579% house edge, ruin settles at 13.87% vs 5.93% while drawdown-weighted drawdown-slope reaches -16u.
When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, non-stationary audit S132-2 maps Paroli 3-Step Press at 1.48u expected erosion (13.87% ruin) compared with 1.06u (5.93% ruin) for Flat 1-Unit Baseline on 65 units.
| S132 drawdown-slope | Paroli | Flat Betting |
|---|---|---|
| Paroli / Flat Betting Rule | 1-2-4-reset | 1-1-1-1 constant unit |
| 70-Hand Ruin (65u) | 13.87% | 5.93% |
| No-Comm Chop Hold (1.4579%) | 1.48u | 1.06u |
| 2-Run Trough (50u Cap) | -16u | -10u |
Benchmark S132-3 evaluates the variance-scaled drawdown-slope between Paroli and Flat Betting over 70 hands of No-Comm Chop: with 65 units, a 50-unit cap, and 1.4579% house edge, ruin settles at 13.87% vs 5.93% while finite-shoe footprint reaches -16u.
When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, combinatorial audit S132-4 charts Paroli 3-Step Press at 1.48u expected erosion (13.87% ruin) compared with 1.06u (5.93% ruin) for Flat 1-Unit Baseline on 65 units.
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.