Within asymmetric testbed S103-0, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager tracks 27.35% ruin (3.69u expected loss) on Martingale Doubling versus 5.52% ruin (0.86u expected loss) on Flat 1-Unit Baseline. 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 S103 (Martingale vs Flat Betting, 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 S103 compares 1-2-4-8-16-32-64 against 1-1-1-1 constant unit 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 1.77u in vigorish friction.
In head-to-head trial S103-1 across 78 deals (5% Comm High-Tie, 1.0579% edge), Martingale records a -34u peak boundary and 27.35% ruin probability on a 75-unit stack, whereas Flat Betting logs a -14u trough and 5.52% ruin under the 50-unit limit.
Within commission-adjusted testbed S103-2, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager tabulates 27.35% ruin (3.69u expected loss) on Martingale Doubling versus 5.52% ruin (0.86u expected loss) on Flat 1-Unit Baseline.
| S103 stake-velocity | Martingale | Flat Betting |
|---|---|---|
| Martingale / Flat Betting Rule | 1-2-4-8-16-32-64 | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 27.35% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 3.69u | 0.86u |
| 4-Run Trough (50u Cap) | -34u | -14u |
In head-to-head trial S103-3 across 78 deals (5% Comm High-Tie, 1.0579% edge), Martingale records a -34u peak dispersion and 27.35% ruin probability on a 75-unit stack, whereas Flat Betting logs a -14u trough and 5.52% ruin under the 50-unit limit.
Within discrete-time testbed S103-4, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager measures 27.35% ruin (3.69u expected loss) on Martingale Doubling versus 5.52% ruin (0.86u expected loss) on Flat 1-Unit Baseline.
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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.
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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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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.
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Step-by-step lookback rules for Big Eye Boy (1), Small Road (2), and Cockroach Pig (3).