In commission-adjusted comparative trial S319-0, running Martingale against Paroli for 152 hands of EZ High-Tie (high-tie) on 110 units computes 6.99u vs 2.18u in expected toll and 36.15% vs 9.25% ruin under a 75-unit pit 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 S319 (Martingale vs Paroli, 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 S319 compares 1-2-4-8-16-32-64 against 1-2-4-reset 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.
Under EZ High-Tie (1.0284% effective edge), multi-coup stress run S319-1 over 152 hands and a 110-unit treasury maps a -39u drawdown (36.15% ruin) for Martingale Doubling against -18u (9.25% ruin) for Paroli 3-Step Press inside a 75-unit cap.
In discrete-time comparative trial S319-2, running Martingale against Paroli for 152 hands of EZ High-Tie (high-tie) on 110 units evaluates 6.99u vs 2.18u in expected toll and 36.15% vs 9.25% ruin under a 75-unit pit limit.
| S319 stake-velocity | Martingale | Paroli |
|---|---|---|
| Martingale / Paroli Rule | 1-2-4-8-16-32-64 | 1-2-4-reset |
| 152-Hand Ruin (110u) | 36.15% | 9.25% |
| EZ High-Tie Hold (1.0284%) | 6.99u | 2.18u |
| 5-Run Trough (75u Cap) | -39u | -18u |
Under EZ High-Tie (1.0284% effective edge), drawdown-weighted stress run S319-3 over 152 hands and a 110-unit treasury charts a -39u drawdown (36.15% ruin) for Martingale Doubling against -18u (9.25% ruin) for Paroli 3-Step Press inside a 75-unit cap.
In capital-bounded comparative trial S319-4, running Martingale against Paroli for 152 hands of EZ High-Tie (high-tie) on 110 units inspects 6.99u vs 2.18u in expected toll and 36.15% vs 9.25% ruin under a 75-unit pit limit.
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