Combinatorial stress ledger S111-0 charts Martingale Doubling versus Flat 1-Unit Baseline across 216 coups (140u bankroll, 90u max bet), demonstrating that 1.2351% house edge and 8-hand runs enforce 51.40% vs 8.20% ruin along the stochastic drawdown-slope. 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 S111 (Martingale vs Flat Betting, 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 S111 compares 1-2-4-8-16-32-64 against 1-1-1-1 constant unit 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.
Head-to-head matrix S111-1 subjects Martingale (1-2-4-8-16-32-64) and Flat Betting (1-1-1-1 constant unit) to 216 hands of Player 1:1 Streak (streak) with 140 units and a 90-unit roof, inspects 11.93u versus 2.77u in mathematical house hold and 51.40% versus 8.20% ruin.
Combinatorial stress ledger S111-2 documents Martingale Doubling versus Flat 1-Unit Baseline across 216 coups (140u bankroll, 90u max bet), demonstrating that 1.2351% house edge and 8-hand runs enforce 51.40% vs 8.20% ruin along the house-edge-anchored volatility-band.
| S111 distribution | Martingale | Flat Betting |
|---|---|---|
| Martingale / Flat Betting Rule | 1-2-4-8-16-32-64 | 1-1-1-1 constant unit |
| 216-Hand Ruin (140u) | 51.40% | 8.20% |
| Player 1:1 Streak Hold (1.2351%) | 11.93u | 2.77u |
| 8-Run Trough (90u Cap) | -57u | -16u |
Head-to-head matrix S111-3 subjects Martingale (1-2-4-8-16-32-64) and Flat Betting (1-1-1-1 constant unit) to 216 hands of Player 1:1 Streak (streak) with 140 units and a 90-unit roof, audits 11.93u versus 2.77u in mathematical house hold and 51.40% versus 8.20% ruin.
Combinatorial stress ledger S111-4 profiles Martingale Doubling versus Flat 1-Unit Baseline across 216 coups (140u bankroll, 90u max bet), demonstrating that 1.2351% house edge and 8-hand runs enforce 51.40% vs 8.20% ruin along the table-capped survival-window.
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.