Combinatorial stress ledger S361-0 documents Labouchere Split-Line versus Oscar's Grind 1-Unit Cycle across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 29.19% vs 10.86% ruin along the commission-adjusted drawdown-slope. 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 S361 (Labouchere vs Oscar's Grind, 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 S361 compares [1-2-3-2-1] outside sum against hold on loss / +1 on win 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.
Head-to-head matrix S361-1 subjects Labouchere ([1-2-3-2-1] outside sum) and Oscar's Grind (hold on loss / +1 on win) to 152 hands of EZ High-Tie (high-tie) with 110 units and a 75-unit roof, audits 4.95u versus 2.57u in mathematical house hold and 29.19% versus 10.86% ruin.
Combinatorial stress ledger S361-2 profiles Labouchere Split-Line versus Oscar's Grind 1-Unit Cycle across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 29.19% vs 10.86% ruin along the discrete-time volatility-band.
| S361 distribution | Labouchere | Oscar's Grind |
|---|---|---|
| Labouchere / Oscar's Grind Rule | [1-2-3-2-1] outside sum | hold on loss / +1 on win |
| 152-Hand Ruin (110u) | 29.19% | 10.86% |
| EZ High-Tie Hold (1.0284%) | 4.95u | 2.57u |
| 5-Run Trough (75u Cap) | -33u | -16u |
Head-to-head matrix S361-3 subjects Labouchere ([1-2-3-2-1] outside sum) and Oscar's Grind (hold on loss / +1 on win) to 152 hands of EZ High-Tie (high-tie) with 110 units and a 75-unit roof, verifies 4.95u versus 2.57u in mathematical house hold and 29.19% versus 10.86% ruin.
Combinatorial stress ledger S361-4 benchmarks Labouchere Split-Line versus Oscar's Grind 1-Unit Cycle across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 29.19% vs 10.86% ruin along the capital-bounded survival-window.
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