Combinatorial stress ledger S219-0 computes Contra D'Alembert Press versus Flat 1-Unit Baseline across 144 coups (100u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 3-hand runs enforce 14.69% vs 8.39% ruin along the step-indexed escalation. 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 S219 (Contra D'Alembert vs Flat Betting, Two-Shoe Doublet Chop 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 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 S219 compares +1 on win / -1 on loss against 1-1-1-1 constant unit over 144 hands.
Probability of exhausting the 100-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 144 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.72% tie frequency (14 pushes) and 1.24u in vigorish friction.
Head-to-head matrix S219-1 subjects Contra D'Alembert (+1 on win / -1 on loss) and Flat Betting (1-1-1-1 constant unit) to 144 hands of EZ Dragon Chop (chop) with 100 units and a 75-unit roof, maps 2.58u versus 1.54u in mathematical house hold and 14.69% versus 8.39% ruin.
Combinatorial stress ledger S219-2 evaluates Contra D'Alembert Press versus Flat 1-Unit Baseline across 144 coups (100u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 3-hand runs enforce 14.69% vs 8.39% ruin along the variance-scaled exposure.
| S219 progression-curve | Contra D'Alembert | Flat Betting |
|---|---|---|
| Contra D'Alembert / Flat Betting Rule | +1 on win / -1 on loss | 1-1-1-1 constant unit |
| 144-Hand Ruin (100u) | 14.69% | 8.39% |
| EZ Dragon Chop Hold (1.0284%) | 2.58u | 1.54u |
| 3-Run Trough (75u Cap) | -23u | -13u |
Head-to-head matrix S219-3 subjects Contra D'Alembert (+1 on win / -1 on loss) and Flat Betting (1-1-1-1 constant unit) to 144 hands of EZ Dragon Chop (chop) with 100 units and a 75-unit roof, charts 2.58u versus 1.54u in mathematical house hold and 14.69% versus 8.39% ruin.
Combinatorial stress ledger S219-4 inspects Contra D'Alembert Press versus Flat 1-Unit Baseline across 144 coups (100u bankroll, 75u max bet), demonstrating that 1.0284% house edge and 3-hand runs enforce 14.69% vs 8.39% ruin along the session-bounded profile.
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.