During 210 deals of Player High-Tie (high-tie) in audit S168-0, 1-2-3-5 Four-Step Ladder (1-2-3-5) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, maps 19.77% vs 8.79% ruin and 1.95u 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 S168 (1-2-3-5 vs Flat Betting, 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 S168 compares 1-2-3-5 against 1-1-1-1 constant unit 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 1.95u in vigorish friction.
Matchup S168-1 evaluates how a 130-unit roll and 85-unit pit maximum govern 1-2-3-5 versus Flat Betting during 210 hands of Player High-Tie: discrete-time escalation divergence pushes primary ruin to 19.77% against 8.79% for the benchmark while dissects 1.95u in commission friction.
During 210 deals of Player High-Tie (high-tie) in audit S168-2, 1-2-3-5 Four-Step Ladder (1-2-3-5) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, charts 19.77% vs 8.79% ruin and 1.95u in commission drag.
| S168 profile | 1-2-3-5 | Flat Betting |
|---|---|---|
| 1-2-3-5 / Flat Betting Rule | 1-2-3-5 | 1-1-1-1 constant unit |
| 210-Hand Ruin (130u) | 19.77% | 8.79% |
| Player High-Tie Hold (1.2351%) | 4.06u | 2.70u |
| 4-Run Trough (85u Cap) | -21u | -14u |
Matchup S168-3 inspects how a 130-unit roll and 85-unit pit maximum govern 1-2-3-5 versus Flat Betting during 210 hands of Player High-Tie: capital-bounded exposure divergence pushes primary ruin to 19.77% against 8.79% for the benchmark while audits 1.95u in commission friction.
During 210 deals of Player High-Tie (high-tie) in audit S168-4, 1-2-3-5 Four-Step Ladder (1-2-3-5) and Flat 1-Unit Baseline (1-1-1-1 constant unit) navigate 32 tie pushes on a 130-unit roll with a 85-unit cap, documents 19.77% vs 8.79% ruin and 1.95u in commission drag.
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