Head-to-head matrix S405-0 subjects Paroli (1-2-4-reset) and 2-1-2 Manhattan (2-1-2-3-4-5) to 216 hands of Player 1:1 Streak (streak) with 140 units and a 90-unit roof, inspects 3.86u versus 4.00u in mathematical house hold and 14.96% versus 11.51% 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 S405 (Paroli vs 2-1-2 Manhattan, 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 S405 compares 1-2-4-reset against 2-1-2-3-4-5 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 1.85u in vigorish friction.
Combinatorial stress ledger S405-1 documents Paroli 3-Step Press versus 2-1-2 Manhattan Progression across 216 coups (140u bankroll, 90u max bet), demonstrating that 1.2351% house edge and 8-hand runs enforce 14.96% vs 11.51% ruin along the absorbing-barrier absorption-curve.
Head-to-head matrix S405-2 subjects Paroli (1-2-4-reset) and 2-1-2 Manhattan (2-1-2-3-4-5) to 216 hands of Player 1:1 Streak (streak) with 140 units and a 90-unit roof, audits 3.86u versus 4.00u in mathematical house hold and 14.96% versus 11.51% ruin.
| S405 capital-runway | Paroli | 2-1-2 Manhattan |
|---|---|---|
| Paroli / 2-1-2 Manhattan Rule | 1-2-4-reset | 2-1-2-3-4-5 |
| 216-Hand Ruin (140u) | 14.96% | 11.51% |
| Player 1:1 Streak Hold (1.2351%) | 3.86u | 4.00u |
| 8-Run Trough (90u Cap) | -33u | -24u |
Combinatorial stress ledger S405-3 profiles Paroli 3-Step Press versus 2-1-2 Manhattan Progression across 216 coups (140u bankroll, 90u max bet), demonstrating that 1.2351% house edge and 8-hand runs enforce 14.96% vs 11.51% ruin along the eight-deck stake-velocity.
Head-to-head matrix S405-4 subjects Paroli (1-2-4-reset) and 2-1-2 Manhattan (2-1-2-3-4-5) to 216 hands of Player 1:1 Streak (streak) with 140 units and a 90-unit roof, verifies 3.86u versus 4.00u in mathematical house hold and 14.96% versus 11.51% ruin.
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
Inspect Big Road, Bead Plate, Big Eye Boy, Small Road, and Cockroach Pig marks interactively.
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.