When No-Comm High-Tie (high-tie) injects a 5-hand extreme run and 15 tie pushes (18.75% Tie density) over 80 coups, finite-shoe audit S274-0 inspects 2-1-2 Manhattan Progression at 1.90u expected erosion (11.65% ruin) compared with 1.21u (5.73% ruin) for Flat 1-Unit Baseline on 85 units. 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 S274 (2-1-2 Manhattan vs Flat Betting, 18% Tie-Heavy 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Stress cell S274 compares 2-1-2-3-4-5 against 1-1-1-1 constant unit over 80 hands.
Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.
Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.
Reflects 18.75% tie frequency (15 pushes) and 1.18u in vigorish friction.
Benchmark S274-1 documents the commission-adjusted escalation between 2-1-2 Manhattan and Flat Betting over 80 hands of No-Comm High-Tie: with 85 units, a 60-unit cap, and 1.4579% house edge, ruin settles at 11.65% vs 5.73% while commission-adjusted drawdown-slope reaches -28u.
When No-Comm High-Tie (high-tie) injects a 5-hand extreme run and 15 tie pushes (18.75% Tie density) over 80 coups, multi-coup audit S274-2 audits 2-1-2 Manhattan Progression at 1.90u expected erosion (11.65% ruin) compared with 1.21u (5.73% ruin) for Flat 1-Unit Baseline on 85 units.
| S274 profile | 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 |
| 80-Hand Ruin (85u) | 11.65% | 5.73% |
| No-Comm High-Tie Hold (1.4579%) | 1.90u | 1.21u |
| 5-Run Trough (60u Cap) | -28u | -16u |
Benchmark S274-3 profiles the discrete-time exposure between 2-1-2 Manhattan and Flat Betting over 80 hands of No-Comm High-Tie: with 85 units, a 60-unit cap, and 1.4579% house edge, ruin settles at 11.65% vs 5.73% while combinatorial footprint reaches -28u.
When No-Comm High-Tie (high-tie) injects a 5-hand extreme run and 15 tie pushes (18.75% Tie density) over 80 coups, drawdown-weighted audit S274-4 verifies 2-1-2 Manhattan Progression at 1.90u expected erosion (11.65% ruin) compared with 1.21u (5.73% ruin) for Flat 1-Unit Baseline on 85 units.
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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.
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.
Practical bankroll boundaries, stop-loss discipline, and 18+/21+ support resources.