Benchmark S291-0 verifies the commission-adjusted escalation between HK 6-Step and Flat Betting over 152 hands of EZ High-Tie: with 110 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 33.60% vs 6.96% while stochastic decay-rate reaches -39u. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S291 (HK 6-Step vs Flat Betting, Two-Shoe High-Tie Stall under EZ Baccarat Dragon 7 Push). 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
Stress cell S291 compares 1-3-7-15-31-63 against 1-1-1-1 constant unit over 152 hands.
Probability of exhausting the 110-unit bankroll under a 75-unit house bet limit.
Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 152 coups.
Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.
Reflects 17.11% tie frequency (26 pushes) and 3.25u in vigorish friction.
When EZ High-Tie (high-tie) injects a 5-hand extreme run and 26 tie pushes (17.11% Tie density) over 152 coups, multi-coup audit S291-1 benchmarks Hong Kong 6-Step Cruise at 6.78u expected erosion (33.60% ruin) compared with 1.63u (6.96% ruin) for Flat 1-Unit Baseline on 110 units.
Benchmark S291-2 tracks the discrete-time exposure between HK 6-Step and Flat Betting over 152 hands of EZ High-Tie: with 110 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 33.60% vs 6.96% while drawdown-weighted distribution reaches -39u.
| S291 progression-curve | HK 6-Step | Flat Betting |
|---|---|---|
| HK 6-Step / Flat Betting Rule | 1-3-7-15-31-63 | 1-1-1-1 constant unit |
| 152-Hand Ruin (110u) | 33.60% | 6.96% |
| EZ High-Tie Hold (1.0284%) | 6.78u | 1.63u |
| 5-Run Trough (75u Cap) | -39u | -13u |
When EZ High-Tie (high-tie) injects a 5-hand extreme run and 26 tie pushes (17.11% Tie density) over 152 coups, drawdown-weighted audit S291-3 calibrates Hong Kong 6-Step Cruise at 6.78u expected erosion (33.60% ruin) compared with 1.63u (6.96% ruin) for Flat 1-Unit Baseline on 110 units.
Benchmark S291-4 tabulates the capital-bounded profile between HK 6-Step and Flat Betting over 152 hands of EZ High-Tie: with 110 units, a 75-unit cap, and 1.0284% house edge, ruin settles at 33.60% vs 6.96% while finite-shoe survival-window reaches -39u.
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.