During 210 deals of Player High-Tie (high-tie) in audit S364-0, Labouchere Split-Line ([1-2-3-2-1] outside sum) and Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, models 31.99% vs 13.35% ruin and 3.94u in commission drag. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S364 (Labouchere vs Oscar's Grind, Three-Shoe 15% Tie Density on Even-Money Player Wagers). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
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 S364 compares [1-2-3-2-1] outside sum against hold on loss / +1 on win over 210 hands.
Probability of exhausting the 130-unit bankroll under a 85-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 210 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 15.24% tie frequency (32 pushes) and 3.94u in vigorish friction.
Matchup S364-1 measures how a 130-unit roll and 85-unit pit maximum govern Labouchere versus Oscar's Grind during 210 hands of Player High-Tie: discrete-time envelope divergence pushes primary ruin to 31.99% against 13.35% for the benchmark while models 3.94u in commission friction.
During 210 deals of Player High-Tie (high-tie) in audit S364-2, Labouchere Split-Line ([1-2-3-2-1] outside sum) and Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, dissects 31.99% vs 13.35% ruin and 3.94u in commission drag.
| S364 threshold | Labouchere | Oscar's Grind |
|---|---|---|
| Labouchere / Oscar's Grind Rule | [1-2-3-2-1] outside sum | hold on loss / +1 on win |
| 210-Hand Ruin (130u) | 31.99% | 13.35% |
| Player High-Tie Hold (1.2351%) | 8.21u | 4.26u |
| 4-Run Trough (85u Cap) | -32u | -17u |
Matchup S364-3 quantifies how a 130-unit roll and 85-unit pit maximum govern Labouchere versus Oscar's Grind during 210 hands of Player High-Tie: capital-bounded trajectory divergence pushes primary ruin to 31.99% against 13.35% for the benchmark while inspects 3.94u in commission friction.
During 210 deals of Player High-Tie (high-tie) in audit S364-4, Labouchere Split-Line ([1-2-3-2-1] outside sum) and Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, computes 31.99% vs 13.35% ruin and 3.94u in commission drag.
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