Within asymmetric testbed S299-0, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager documents 13.77% ruin (1.56u expected loss) on Macau 3-Step VIP Bullet 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 S299 (Macau 3-Step 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 S299 compares 1-3-7 cap 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 0.75u in vigorish friction.
In head-to-head trial S299-1 across 78 deals (5% Comm High-Tie, 1.0579% edge), Macau 3-Step records a -22u peak capital-runway and 13.77% ruin probability on a 75-unit stack, whereas Flat Betting logs a -15u trough and 5.52% ruin under the 50-unit limit.
Within commission-adjusted testbed S299-2, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager profiles 13.77% ruin (1.56u expected loss) on Macau 3-Step VIP Bullet versus 5.52% ruin (0.86u expected loss) on Flat 1-Unit Baseline.
| S299 envelope | Macau 3-Step | Flat Betting |
|---|---|---|
| Macau 3-Step / Flat Betting Rule | 1-3-7 cap | 1-1-1-1 constant unit |
| 78-Hand Ruin (75u) | 13.77% | 5.52% |
| 5% Comm High-Tie Hold (1.0579%) | 1.56u | 0.86u |
| 4-Run Trough (50u Cap) | -22u | -15u |
In head-to-head trial S299-3 across 78 deals (5% Comm High-Tie, 1.0579% edge), Macau 3-Step records a -22u peak absorption-curve and 13.77% ruin probability on a 75-unit stack, whereas Flat Betting logs a -15u trough and 5.52% ruin under the 50-unit limit.
Within discrete-time testbed S299-4, a 75-unit bankroll facing 78 coups of 5% Comm High-Tie (high-tie) and a 50-unit maximum wager benchmarks 13.77% ruin (1.56u expected loss) on Macau 3-Step VIP Bullet versus 5.52% ruin (0.86u expected loss) on Flat 1-Unit Baseline.
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.