Pairing a 60-unit bankroll against 72 hands of 5% Comm Chop (1.0579% edge) in cell S227-0 measures Labouchere at 18.67% ruin and -19u peak threshold, whereas Flat Betting records 5.84% ruin and -10u below the 50-unit ceiling. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S227 (Labouchere vs Flat Betting, Single-Alternating Chop under 5% Banker Commission). 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
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 S227 compares [1-2-3-2-1] outside sum against 1-1-1-1 constant unit over 72 hands.
Probability of exhausting the 60-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 72 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.52% tie frequency (7 pushes) and 1.16u in vigorish friction.
Across 72 resolved and tied deals under 5% Comm Chop (1.0579% edge), table-capped comparison S227-1 dissects Labouchere Split-Line against Flat 1-Unit Baseline on a 60-unit bankroll, showing that 2-hand clusters and a 50-unit ceiling drive 18.67% vs 5.84% stop-loss breaches along the asymmetric drawdown-slope.
Pairing a 60-unit bankroll against 72 hands of 5% Comm Chop (1.0579% edge) in cell S227-2 quantifies Labouchere at 18.67% ruin and -19u peak footprint, whereas Flat Betting records 5.84% ruin and -10u below the 50-unit ceiling.
| S227 envelope | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 72-Hand Ruin (60u) | 18.67% | 5.84% |
| 5% Comm Chop Hold (1.0579%) | 2.41u | 0.79u |
| 2-Run Trough (50u Cap) | -19u | -10u |
Across 72 resolved and tied deals under 5% Comm Chop (1.0579% edge), non-stationary comparison S227-3 computes Labouchere Split-Line against Flat 1-Unit Baseline on a 60-unit bankroll, showing that 2-hand clusters and a 50-unit ceiling drive 18.67% vs 5.84% stop-loss breaches along the non-stationary footprint.
Pairing a 60-unit bankroll against 72 hands of 5% Comm Chop (1.0579% edge) in cell S227-4 maps Labouchere at 18.67% ruin and -19u peak cadence, whereas Flat Betting records 5.84% ruin and -10u below the 50-unit ceiling.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.