Benchmark S237-0 maps the stochastic envelope between Labouchere and Flat Betting over 216 hands of Player 1:1 Streak: with 140 units, a 90-unit cap, and 1.2351% house edge, ruin settles at 23.25% vs 8.20% while capital-bounded decay-rate reaches -46u. 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 S237 (Labouchere vs Flat Betting, Three-Shoe Adverse 8-Run 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 S237 compares [1-2-3-2-1] outside sum against 1-1-1-1 constant unit over 216 hands.
Probability of exhausting the 140-unit bankroll under a 90-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 216 coups.
Deepest unit trough triggered by a 8-hand run inside the streak shoe profile.
Reflects 9.26% tie frequency (20 pushes) and 4.05u in vigorish friction.
When Player 1:1 Streak (streak) injects a 8-hand extreme run and 20 tie pushes (9.26% Tie density) over 216 coups, absorbing-barrier audit S237-1 evaluates Labouchere Split-Line at 8.44u expected erosion (23.25% ruin) compared with 2.77u (8.20% ruin) for Flat 1-Unit Baseline on 140 units.
Benchmark S237-2 charts the house-edge-anchored trajectory between Labouchere and Flat Betting over 216 hands of Player 1:1 Streak: with 140 units, a 90-unit cap, and 1.2351% house edge, ruin settles at 23.25% vs 8.20% while commission-adjusted distribution reaches -46u.
| S237 absorption-curve | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 216-Hand Ruin (140u) | 23.25% | 8.20% |
| Player 1:1 Streak Hold (1.2351%) | 8.44u | 2.77u |
| 8-Run Trough (90u Cap) | -46u | -17u |
When Player 1:1 Streak (streak) injects a 8-hand extreme run and 20 tie pushes (9.26% Tie density) over 216 coups, eight-deck audit S237-3 inspects Labouchere Split-Line at 8.44u expected erosion (23.25% ruin) compared with 2.77u (8.20% ruin) for Flat 1-Unit Baseline on 140 units.
Benchmark S237-4 documents the table-capped cycle-span between Labouchere and Flat Betting over 216 hands of Player 1:1 Streak: with 140 units, a 90-unit cap, and 1.2351% house edge, ruin settles at 23.25% vs 8.20% while combinatorial survival-window reaches -46u.
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.
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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.