When Player 1:1 Chop (chop) injects a 2-hand extreme run and 13 tie pushes (9.29% Tie density) over 140 coups, non-stationary audit S166-0 profiles 1-2-3-5 Four-Step Ladder at 2.71u expected erosion (18.89% ruin) compared with 1.80u (7.64% ruin) for Flat 1-Unit Baseline on 95 units. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S166 (1-2-3-5 vs Flat Betting, Two-Shoe Strict Alternation on Even-Money Player Wagers). 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 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 S166 compares 1-2-3-5 against 1-1-1-1 constant unit over 140 hands.
Probability of exhausting the 95-unit bankroll under a 70-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 140 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.29% tie frequency (13 pushes) and 1.30u in vigorish friction.
Benchmark S166-1 verifies the variance-scaled drawdown-slope between 1-2-3-5 and Flat Betting over 140 hands of Player 1:1 Chop: with 95 units, a 70-unit cap, and 1.2351% house edge, ruin settles at 18.89% vs 7.64% while non-stationary drawdown-slope reaches -21u.
When Player 1:1 Chop (chop) injects a 2-hand extreme run and 13 tie pushes (9.29% Tie density) over 140 coups, combinatorial audit S166-2 benchmarks 1-2-3-5 Four-Step Ladder at 2.71u expected erosion (18.89% ruin) compared with 1.80u (7.64% ruin) for Flat 1-Unit Baseline on 95 units.
| S166 progression-curve | 1-2-3-5 | Flat Betting |
|---|---|---|
| 1-2-3-5 / Flat Betting Rule | 1-2-3-5 | 1-1-1-1 constant unit |
| 140-Hand Ruin (95u) | 18.89% | 7.64% |
| Player 1:1 Chop Hold (1.2351%) | 2.71u | 1.80u |
| 2-Run Trough (70u Cap) | -21u | -9u |
Benchmark S166-3 tracks the session-bounded volatility-band between 1-2-3-5 and Flat Betting over 140 hands of Player 1:1 Chop: with 95 units, a 70-unit cap, and 1.2351% house edge, ruin settles at 18.89% vs 7.64% while house-edge-anchored footprint reaches -21u.
When Player 1:1 Chop (chop) injects a 2-hand extreme run and 13 tie pushes (9.29% Tie density) over 140 coups, asymmetric audit S166-4 calibrates 1-2-3-5 Four-Step Ladder at 2.71u expected erosion (18.89% ruin) compared with 1.80u (7.64% ruin) for Flat 1-Unit Baseline on 95 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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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.