Across 152 resolved and tied deals under EZ High-Tie (1.0284% edge), commission-adjusted comparison S109-0 benchmarks Martingale Doubling against Flat 1-Unit Baseline on a 110-unit bankroll, showing that 5-hand clusters and a 75-unit ceiling drive 37.89% vs 6.96% stop-loss breaches along the stochastic decay-rate. 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 S109 (Martingale 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 S109 compares 1-2-4-8-16-32-64 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 3.36u in vigorish friction.
Pairing a 110-unit bankroll against 152 hands of EZ High-Tie (1.0284% edge) in cell S109-1 tracks Martingale at 37.89% ruin and -39u peak volatility-band, whereas Flat Betting records 6.96% ruin and -16u below the 75-unit ceiling.
Across 152 resolved and tied deals under EZ High-Tie (1.0284% edge), discrete-time comparison S109-2 calibrates Martingale Doubling against Flat 1-Unit Baseline on a 110-unit bankroll, showing that 5-hand clusters and a 75-unit ceiling drive 37.89% vs 6.96% stop-loss breaches along the drawdown-weighted distribution.
| S109 turnover | Martingale | Flat Betting |
|---|---|---|
| Martingale / Flat Betting Rule | 1-2-4-8-16-32-64 | 1-1-1-1 constant unit |
| 152-Hand Ruin (110u) | 37.89% | 6.96% |
| EZ High-Tie Hold (1.0284%) | 6.99u | 1.63u |
| 5-Run Trough (75u Cap) | -39u | -16u |
Pairing a 110-unit bankroll against 152 hands of EZ High-Tie (1.0284% edge) in cell S109-3 tabulates Martingale at 37.89% ruin and -39u peak survival-window, whereas Flat Betting records 6.96% ruin and -16u below the 75-unit ceiling.
Across 152 resolved and tied deals under EZ High-Tie (1.0284% edge), capital-bounded comparison S109-4 models Martingale Doubling against Flat 1-Unit Baseline on a 110-unit bankroll, showing that 5-hand clusters and a 75-unit ceiling drive 37.89% vs 6.96% stop-loss breaches along the finite-shoe survival-window.
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