Evaluating Martingale vs Paroli in scenario S321-0 (216 hands, 140u stack, 90u table limit) calibrates how 20 tie stalls (9.26%) and a 8-coup run shape stochastic profile, yielding 52.27% vs 10.76% ruin. 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 S321 (Martingale vs Paroli, 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 S321 compares 1-2-4-8-16-32-64 against 1-2-4-reset 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 5.73u in vigorish friction.
Stress test S321-1 tabulates Martingale Doubling (1-2-4-8-16-32-64) against Paroli 3-Step Press (1-2-4-reset) inside a 140-unit bankroll over 216 hands (Player 1:1 Streak, streak), where a 90-unit table ceiling produces 52.27% vs 10.76% ruin rates and evaluates 5.73u in absorbing-barrier vigorish drag.
Evaluating Martingale vs Paroli in scenario S321-2 (216 hands, 140u stack, 90u table limit) models how 20 tie stalls (9.26%) and a 8-coup run shape house-edge-anchored boundary, yielding 52.27% vs 10.76% ruin.
| S321 footprint | Martingale | Paroli |
|---|---|---|
| Martingale / Paroli Rule | 1-2-4-8-16-32-64 | 1-2-4-reset |
| 216-Hand Ruin (140u) | 52.27% | 10.76% |
| Player 1:1 Streak Hold (1.2351%) | 11.93u | 3.72u |
| 8-Run Trough (90u Cap) | -57u | -19u |
Stress test S321-3 measures Martingale Doubling (1-2-4-8-16-32-64) against Paroli 3-Step Press (1-2-4-reset) inside a 140-unit bankroll over 216 hands (Player 1:1 Streak, streak), where a 90-unit table ceiling produces 52.27% vs 10.76% ruin rates and tracks 5.73u in eight-deck vigorish drag.
Evaluating Martingale vs Paroli in scenario S321-4 (216 hands, 140u stack, 90u table limit) dissects how 20 tie stalls (9.26%) and a 8-coup run shape table-capped dispersion, yielding 52.27% vs 10.76% ruin.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
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Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).
Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.