Combinatorial stress ledger S327-0 measures Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 33.01% vs 7.96% ruin along the asymmetric stake-velocity. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S327 (Grand Martingale vs 1-3-2-6, 16% High-Tie Cluster Shoe under 5% Banker Commission). 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.
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.
Stress cell S327 compares 1-3-7-15-31-63-127 against 1-3-2-6 over 78 hands.
Probability of exhausting the 75-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 78 coups.
Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.
Reflects 16.67% tie frequency (13 pushes) and 2.56u in vigorish friction.
Head-to-head matrix S327-1 subjects Grand Martingale (1-3-7-15-31-63-127) and 1-3-2-6 (1-3-2-6) to 78 hands of 5% Comm High-Tie (high-tie) with 75 units and a 50-unit roof, dissects 5.34u versus 1.27u in mathematical house hold and 33.01% versus 7.96% ruin.
Combinatorial stress ledger S327-2 quantifies Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 33.01% vs 7.96% ruin along the commission-adjusted drawdown-slope.
| S327 profile | Grand Martingale | 1-3-2-6 |
|---|---|---|
| Grand Martingale / 1-3-2-6 Rule | 1-3-7-15-31-63-127 | 1-3-2-6 |
| 78-Hand Ruin (75u) | 33.01% | 7.96% |
| 5% Comm High-Tie Hold (1.0579%) | 5.34u | 1.27u |
| 4-Run Trough (50u Cap) | -40u | -15u |
Head-to-head matrix S327-3 subjects Grand Martingale (1-3-7-15-31-63-127) and 1-3-2-6 (1-3-2-6) to 78 hands of 5% Comm High-Tie (high-tie) with 75 units and a 50-unit roof, computes 5.34u versus 1.27u in mathematical house hold and 33.01% versus 7.96% ruin.
Combinatorial stress ledger S327-4 maps Grand Martingale (2x+1) versus 1-3-2-6 Four-Stage Sequence across 78 coups (75u bankroll, 50u max bet), demonstrating that 1.0579% house edge and 4-hand runs enforce 33.01% vs 7.96% ruin along the discrete-time volatility-band.
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.