Under Player High-Tie (1.2351% effective edge), multi-coup stress run S336-0 over 210 hands and a 130-unit treasury inspects a -37u drawdown (51.11% ruin) for Grand Martingale (2x+1) against -14u (12.56% ruin) for 1-3-2-6 Four-Stage Sequence inside a 85-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 S336 (Grand Martingale vs 1-3-2-6, 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 S336 compares 1-3-7-15-31-63-127 against 1-3-2-6 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 8.05u in vigorish friction.
In discrete-time comparative trial S336-1, running Grand Martingale against 1-3-2-6 for 210 hands of Player High-Tie (high-tie) on 130 units documents 16.78u vs 3.99u in expected toll and 51.11% vs 12.56% ruin under a 85-unit pit limit.
Under Player High-Tie (1.2351% effective edge), drawdown-weighted stress run S336-2 over 210 hands and a 130-unit treasury audits a -37u drawdown (51.11% ruin) for Grand Martingale (2x+1) against -14u (12.56% ruin) for 1-3-2-6 Four-Stage Sequence inside a 85-unit cap.
| S336 exposure | Grand Martingale | 1-3-2-6 |
|---|---|---|
| Grand Martingale / 1-3-2-6 Rule | 1-3-7-15-31-63-127 | 1-3-2-6 |
| 210-Hand Ruin (130u) | 51.11% | 12.56% |
| Player High-Tie Hold (1.2351%) | 16.78u | 3.99u |
| 4-Run Trough (85u Cap) | -37u | -14u |
In capital-bounded comparative trial S336-3, running Grand Martingale against 1-3-2-6 for 210 hands of Player High-Tie (high-tie) on 130 units profiles 16.78u vs 3.99u in expected toll and 51.11% vs 12.56% ruin under a 85-unit pit limit.
Under Player High-Tie (1.2351% effective edge), sequential stress run S336-4 over 210 hands and a 130-unit treasury verifies a -37u drawdown (51.11% ruin) for Grand Martingale (2x+1) against -14u (12.56% ruin) for 1-3-2-6 Four-Stage Sequence inside a 85-unit cap.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
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Definitions for progression ladders, absorbing barriers, commission formats, and shoe terms.
Plain-English answers on independent trials, progression variance, and scoreboard reading.
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Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
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