When Player 1:1 Streak (streak) injects a 8-hand extreme run and 20 tie pushes (9.26% Tie density) over 216 coups, stochastic audit S335-0 profiles Grand Martingale (2x+1) at 17.26u expected erosion (62.46% ruin) compared with 4.11u (11.81% ruin) for 1-3-2-6 Four-Stage Sequence on 140 units. 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 S335 (Grand Martingale vs 1-3-2-6, 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 S335 compares 1-3-7-15-31-63-127 against 1-3-2-6 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 8.28u in vigorish friction.
Benchmark S335-1 verifies the absorbing-barrier footprint between Grand Martingale and 1-3-2-6 over 216 hands of Player 1:1 Streak: with 140 units, a 90-unit cap, and 1.2351% house edge, ruin settles at 62.46% vs 11.81% while discrete-time drawdown-slope reaches -62u.
When Player 1:1 Streak (streak) injects a 8-hand extreme run and 20 tie pushes (9.26% Tie density) over 216 coups, house-edge-anchored audit S335-2 benchmarks Grand Martingale (2x+1) at 17.26u expected erosion (62.46% ruin) compared with 4.11u (11.81% ruin) for 1-3-2-6 Four-Stage Sequence on 140 units.
| S335 decay-rate | Grand Martingale | 1-3-2-6 |
|---|---|---|
| Grand Martingale / 1-3-2-6 Rule | 1-3-7-15-31-63-127 | 1-3-2-6 |
| 216-Hand Ruin (140u) | 62.46% | 11.81% |
| Player 1:1 Streak Hold (1.2351%) | 17.26u | 4.11u |
| 8-Run Trough (90u Cap) | -62u | -25u |
Benchmark S335-3 tracks the eight-deck cadence between Grand Martingale and 1-3-2-6 over 216 hands of Player 1:1 Streak: with 140 units, a 90-unit cap, and 1.2351% house edge, ruin settles at 62.46% vs 11.81% while asymmetric footprint reaches -62u.
When Player 1:1 Streak (streak) injects a 8-hand extreme run and 20 tie pushes (9.26% Tie density) over 216 coups, table-capped audit S335-4 calibrates Grand Martingale (2x+1) at 17.26u expected erosion (62.46% ruin) compared with 4.11u (11.81% ruin) for 1-3-2-6 Four-Stage Sequence on 140 units.
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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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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.