Combinatorial stress ledger S165-0 tracks 1-2-3-5 Four-Step Ladder versus Flat 1-Unit Baseline across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 16.21% vs 6.96% ruin along the commission-adjusted envelope. 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 S165 (1-2-3-5 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 S165 compares 1-2-3-5 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 1.18u in vigorish friction.
Head-to-head matrix S165-1 subjects 1-2-3-5 (1-2-3-5) and Flat Betting (1-1-1-1 constant unit) to 152 hands of EZ High-Tie (high-tie) with 110 units and a 75-unit roof, calibrates 2.45u versus 1.63u in mathematical house hold and 16.21% versus 6.96% ruin.
Combinatorial stress ledger S165-2 tabulates 1-2-3-5 Four-Step Ladder versus Flat 1-Unit Baseline across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 16.21% vs 6.96% ruin along the discrete-time trajectory.
| S165 absorption-curve | 1-2-3-5 | Flat Betting |
|---|---|---|
| 1-2-3-5 / Flat Betting Rule | 1-2-3-5 | 1-1-1-1 constant unit |
| 152-Hand Ruin (110u) | 16.21% | 6.96% |
| EZ High-Tie Hold (1.0284%) | 2.45u | 1.63u |
| 5-Run Trough (75u Cap) | -27u | -17u |
Head-to-head matrix S165-3 subjects 1-2-3-5 (1-2-3-5) and Flat Betting (1-1-1-1 constant unit) to 152 hands of EZ High-Tie (high-tie) with 110 units and a 75-unit roof, models 2.45u versus 1.63u in mathematical house hold and 16.21% versus 6.96% ruin.
Combinatorial stress ledger S165-4 measures 1-2-3-5 Four-Step Ladder versus Flat 1-Unit Baseline across 152 coups (110u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 5-hand runs enforce 16.21% vs 6.96% ruin along the capital-bounded cycle-span.
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.