Head-to-head matrix S236-0 subjects Labouchere ([1-2-3-2-1] outside sum) and Flat Betting (1-1-1-1 constant unit) to 140 hands of Player 1:1 Chop (chop) with 95 units and a 70-unit roof, inspects 5.47u versus 1.80u in mathematical house hold and 22.93% versus 7.64% ruin. 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 S236 (Labouchere 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 S236 compares [1-2-3-2-1] outside sum 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 2.63u in vigorish friction.
Combinatorial stress ledger S236-1 documents Labouchere Split-Line versus Flat 1-Unit Baseline across 140 coups (95u bankroll, 70u max bet), demonstrating that 1.2351% house edge and 2-hand runs enforce 22.93% vs 7.64% ruin along the variance-scaled exposure.
Head-to-head matrix S236-2 subjects Labouchere ([1-2-3-2-1] outside sum) and Flat Betting (1-1-1-1 constant unit) to 140 hands of Player 1:1 Chop (chop) with 95 units and a 70-unit roof, audits 5.47u versus 1.80u in mathematical house hold and 22.93% versus 7.64% ruin.
| S236 distribution | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 140-Hand Ruin (95u) | 22.93% | 7.64% |
| Player 1:1 Chop Hold (1.2351%) | 5.47u | 1.80u |
| 2-Run Trough (70u Cap) | -22u | -9u |
Combinatorial stress ledger S236-3 profiles Labouchere Split-Line versus Flat 1-Unit Baseline across 140 coups (95u bankroll, 70u max bet), demonstrating that 1.2351% house edge and 2-hand runs enforce 22.93% vs 7.64% ruin along the session-bounded profile.
Head-to-head matrix S236-4 subjects Labouchere ([1-2-3-2-1] outside sum) and Flat Betting (1-1-1-1 constant unit) to 140 hands of Player 1:1 Chop (chop) with 95 units and a 70-unit roof, verifies 5.47u versus 1.80u in mathematical house hold and 22.93% versus 7.64% ruin.
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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.
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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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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.