Evaluating Oscar's Grind vs Flat Betting in scenario S267-0 (288 hands, 160u stack, 100u table limit) inspects how 27 tie stalls (9.38%) and a 3-coup run shape variance-scaled cycle-span, yielding 19.75% vs 9.92% ruin. Because every 8-deck coup is statistically independent under 5% Banker Commission (0.95:1) (1.0579% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.
Reference 8-deck shoe for Stress Cell S267 (Oscar's Grind vs Flat Betting, Four-Shoe Alternating Sawtooth under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
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 S267 compares hold on loss / +1 on win against 1-1-1-1 constant unit over 288 hands.
Probability of exhausting the 160-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 288 coups.
Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.
Reflects 9.38% tie frequency (27 pushes) and 2.73u in vigorish friction.
Stress test S267-1 documents Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 160-unit bankroll over 288 hands (4-Shoe Chop, chop), where a 100-unit table ceiling produces 19.75% vs 9.92% ruin rates and audits 2.73u in combinatorial vigorish drag.
Evaluating Oscar's Grind vs Flat Betting in scenario S267-2 (288 hands, 160u stack, 100u table limit) audits how 27 tie stalls (9.38%) and a 3-coup run shape session-bounded capital-runway, yielding 19.75% vs 9.92% ruin.
| S267 ledger | Oscar's Grind | Flat Betting |
|---|---|---|
| Oscar's Grind / Flat Betting Rule | hold on loss / +1 on win | 1-1-1-1 constant unit |
| 288-Hand Ruin (160u) | 19.75% | 9.92% |
| 4-Shoe Chop Hold (1.0579%) | 5.68u | 3.17u |
| 3-Run Trough (100u Cap) | -23u | -11u |
Stress test S267-3 profiles Oscar's Grind 1-Unit Cycle (hold on loss / +1 on win) against Flat 1-Unit Baseline (1-1-1-1 constant unit) inside a 160-unit bankroll over 288 hands (4-Shoe Chop, chop), where a 100-unit table ceiling produces 19.75% vs 9.92% ruin rates and measures 2.73u in asymmetric vigorish drag.
Evaluating Oscar's Grind vs Flat Betting in scenario S267-4 (288 hands, 160u stack, 100u table limit) verifies how 27 tie stalls (9.38%) and a 3-coup run shape finite-shoe absorption-curve, yielding 19.75% vs 9.92% ruin.
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.