Under Player 1:1 Streak (1.2351% effective edge), stochastic stress run S363-0 over 216 hands and a 140-unit treasury quantifies a -46u drawdown (23.25% ruin) for Labouchere Split-Line against -24u (12.56% ruin) for Oscar's Grind 1-Unit Cycle inside a 90-unit cap. 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 S363 (Labouchere vs Oscar's Grind, Three-Shoe Adverse 8-Run on Even-Money Player Wagers). 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 S363 compares [1-2-3-2-1] outside sum against hold on loss / +1 on win over 216 hands.
Probability of exhausting the 140-unit bankroll under a 90-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 216 coups.
Deepest unit trough triggered by a 8-hand run inside the streak shoe profile.
Reflects 9.26% tie frequency (20 pushes) and 4.05u in vigorish friction.
In absorbing-barrier comparative trial S363-1, running Labouchere against Oscar's Grind for 216 hands of Player 1:1 Streak (streak) on 140 units computes 8.44u vs 4.38u in expected toll and 23.25% vs 12.56% ruin under a 90-unit pit limit.
Under Player 1:1 Streak (1.2351% effective edge), house-edge-anchored stress run S363-2 over 216 hands and a 140-unit treasury maps a -46u drawdown (23.25% ruin) for Labouchere Split-Line against -24u (12.56% ruin) for Oscar's Grind 1-Unit Cycle inside a 90-unit cap.
| S363 progression-curve | Labouchere | Oscar's Grind |
|---|---|---|
| Labouchere / Oscar's Grind Rule | [1-2-3-2-1] outside sum | hold on loss / +1 on win |
| 216-Hand Ruin (140u) | 23.25% | 12.56% |
| Player 1:1 Streak Hold (1.2351%) | 8.44u | 4.38u |
| 8-Run Trough (90u Cap) | -46u | -24u |
In eight-deck comparative trial S363-3, running Labouchere against Oscar's Grind for 216 hands of Player 1:1 Streak (streak) on 140 units evaluates 8.44u vs 4.38u in expected toll and 23.25% vs 12.56% ruin under a 90-unit pit limit.
Under Player 1:1 Streak (1.2351% effective edge), table-capped stress run S363-4 over 216 hands and a 140-unit treasury charts a -46u drawdown (23.25% ruin) for Labouchere Split-Line against -24u (12.56% ruin) for Oscar's Grind 1-Unit Cycle inside a 90-unit cap.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
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