Benchmark S230-0 documents the table-capped profile between Labouchere 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 17.62% vs 5.93% while sequential decay-rate reaches -22u. 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 S230 (Labouchere 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 S230 compares [1-2-3-2-1] outside sum 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 2.00u in vigorish friction.
When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, step-indexed audit S230-1 audits Labouchere Split-Line at 3.23u expected erosion (17.62% ruin) compared with 1.06u (5.93% ruin) for Flat 1-Unit Baseline on 65 units.
Benchmark S230-2 profiles the non-stationary boundary between Labouchere 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 17.62% vs 5.93% while multi-coup distribution reaches -22u.
| S230 footprint | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 70-Hand Ruin (65u) | 17.62% | 5.93% |
| No-Comm Chop Hold (1.4579%) | 3.23u | 1.06u |
| 2-Run Trough (50u Cap) | -22u | -13u |
When No-Comm Chop (chop) injects a 2-hand extreme run and 7 tie pushes (9.55% Tie density) over 70 coups, variance-scaled audit S230-3 verifies Labouchere Split-Line at 3.23u expected erosion (17.62% ruin) compared with 1.06u (5.93% ruin) for Flat 1-Unit Baseline on 65 units.
Benchmark S230-4 benchmarks the combinatorial dispersion between Labouchere 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 17.62% vs 5.93% while session-bounded survival-window reaches -22u.
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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
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.
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.