Benchmark S264-0 models the non-stationary boundary between Oscar's Grind and Flat Betting over 140 hands of Player 1:1 Chop: with 95 units, a 70-unit cap, and 1.2351% house edge, ruin settles at 15.51% vs 7.64% while combinatorial decay-rate reaches -17u. 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 S264 (Oscar's Grind vs Flat Betting, Two-Shoe Strict Alternation 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 S264 compares hold on loss / +1 on win against 1-1-1-1 constant unit over 140 hands.
Probability of exhausting the 95-unit bankroll under a 70-unit house bet limit.
Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 140 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.29% tie frequency (13 pushes) and 1.55u in vigorish friction.
When Player 1:1 Chop (chop) injects a 2-hand extreme run and 13 tie pushes (9.29% Tie density) over 140 coups, variance-scaled audit S264-1 measures Oscar's Grind 1-Unit Cycle at 3.22u expected erosion (15.51% ruin) compared with 1.80u (7.64% ruin) for Flat 1-Unit Baseline on 95 units.
Benchmark S264-2 dissects the combinatorial dispersion between Oscar's Grind and Flat Betting over 140 hands of Player 1:1 Chop: with 95 units, a 70-unit cap, and 1.2351% house edge, ruin settles at 15.51% vs 7.64% while table-capped distribution reaches -17u.
| S264 exposure | Oscar's Grind | Flat Betting |
|---|---|---|
| Oscar's Grind / Flat Betting Rule | hold on loss / +1 on win | 1-1-1-1 constant unit |
| 140-Hand Ruin (95u) | 15.51% | 7.64% |
| Player 1:1 Chop Hold (1.2351%) | 3.22u | 1.80u |
| 2-Run Trough (70u Cap) | -17u | -12u |
When Player 1:1 Chop (chop) injects a 2-hand extreme run and 13 tie pushes (9.29% Tie density) over 140 coups, session-bounded audit S264-3 quantifies Oscar's Grind 1-Unit Cycle at 3.22u expected erosion (15.51% ruin) compared with 1.80u (7.64% ruin) for Flat 1-Unit Baseline on 95 units.
Benchmark S264-4 computes the asymmetric distribution between Oscar's Grind and Flat Betting over 140 hands of Player 1:1 Chop: with 95 units, a 70-unit cap, and 1.2351% house edge, ruin settles at 15.51% vs 7.64% while stochastic survival-window reaches -17u.
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