Within table-capped testbed S272-0, a 65-unit bankroll facing 70 coups of No-Comm Chop (chop) and a 50-unit maximum wager tracks 13.66% ruin (1.66u expected loss) on 2-1-2 Manhattan Progression versus 5.93% ruin (1.06u expected loss) on Flat 1-Unit Baseline. Because every 8-deck coup is statistically independent under No-Commission Banker 6 (0.50:1 on 6) (1.4579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S272 (2-1-2 Manhattan vs Flat Betting, Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay). 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S272 compares 2-1-2-3-4-5 against 1-1-1-1 constant unit over 70 hands.
Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.55% tie frequency (7 pushes) and 1.03u in vigorish friction.
In head-to-head trial S272-1 across 70 deals (No-Comm Chop, 1.4579% edge), 2-1-2 Manhattan records a -19u peak drawdown-slope and 13.66% ruin probability on a 65-unit stack, whereas Flat Betting logs a -10u trough and 5.93% ruin under the 50-unit limit.
Within non-stationary testbed S272-2, a 65-unit bankroll facing 70 coups of No-Comm Chop (chop) and a 50-unit maximum wager tabulates 13.66% ruin (1.66u expected loss) on 2-1-2 Manhattan Progression versus 5.93% ruin (1.06u expected loss) on Flat 1-Unit Baseline.
| S272 progression-curve | 2-1-2 Manhattan | Flat Betting |
|---|---|---|
| 2-1-2 Manhattan / Flat Betting Rule | 2-1-2-3-4-5 | 1-1-1-1 constant unit |
| 70-Hand Ruin (65u) | 13.66% | 5.93% |
| No-Comm Chop Hold (1.4579%) | 1.66u | 1.06u |
| 2-Run Trough (50u Cap) | -19u | -10u |
In head-to-head trial S272-3 across 70 deals (No-Comm Chop, 1.4579% edge), 2-1-2 Manhattan records a -19u peak volatility-band and 13.66% ruin probability on a 65-unit stack, whereas Flat Betting logs a -10u trough and 5.93% ruin under the 50-unit limit.
Within combinatorial testbed S272-4, a 65-unit bankroll facing 70 coups of No-Comm Chop (chop) and a 50-unit maximum wager measures 13.66% ruin (1.66u expected loss) on 2-1-2 Manhattan Progression versus 5.93% ruin (1.06u 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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Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.
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.