In head-to-head trial S235-0 across 152 deals (EZ High-Tie, 1.0284% edge), Labouchere records a -33u peak turnover and 29.19% ruin probability on a 110-unit stack, whereas Flat Betting logs a -17u trough and 6.96% ruin under the 75-unit limit. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S235 (Labouchere vs Flat Betting, Two-Shoe High-Tie Stall under EZ Baccarat Dragon 7 Push). 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 S235 compares [1-2-3-2-1] outside sum against 1-1-1-1 constant unit over 152 hands.
Probability of exhausting the 110-unit bankroll under a 75-unit house bet limit.
Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 152 coups.
Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.
Reflects 17.11% tie frequency (26 pushes) and 2.38u in vigorish friction.
Within multi-coup testbed S235-1, a 110-unit bankroll facing 152 coups of EZ High-Tie (high-tie) and a 75-unit maximum wager verifies 29.19% ruin (4.95u expected loss) on Labouchere Split-Line versus 6.96% ruin (1.63u expected loss) on Flat 1-Unit Baseline.
In head-to-head trial S235-2 across 152 deals (EZ High-Tie, 1.0284% edge), Labouchere records a -33u peak decay-rate and 29.19% ruin probability on a 110-unit stack, whereas Flat Betting logs a -17u trough and 6.96% ruin under the 75-unit limit.
| S235 escalation | Labouchere | Flat Betting |
|---|---|---|
| Labouchere / Flat Betting Rule | [1-2-3-2-1] outside sum | 1-1-1-1 constant unit |
| 152-Hand Ruin (110u) | 29.19% | 6.96% |
| EZ High-Tie Hold (1.0284%) | 4.95u | 1.63u |
| 5-Run Trough (75u Cap) | -33u | -17u |
Within drawdown-weighted testbed S235-3, a 110-unit bankroll facing 152 coups of EZ High-Tie (high-tie) and a 75-unit maximum wager tracks 29.19% ruin (4.95u expected loss) on Labouchere Split-Line versus 6.96% ruin (1.63u expected loss) on Flat 1-Unit Baseline.
In head-to-head trial S235-4 across 152 deals (EZ High-Tie, 1.0284% edge), Labouchere records a -33u peak threshold and 29.19% ruin probability on a 110-unit stack, whereas Flat Betting logs a -17u trough and 6.96% ruin under the 75-unit limit.
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