Combinatorial stress ledger S246-0 tabulates Reverse Labouchere Line versus Flat 1-Unit Baseline across 80 coups (85u bankroll, 60u max bet), demonstrating that 1.4579% house edge and 5-hand runs enforce 14.82% vs 5.73% ruin along the finite-shoe threshold. 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 S246 (Rev Labouchere 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 S246 compares [1-2-3-2-1] press line 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 1.62u in vigorish friction.
Head-to-head matrix S246-1 subjects Rev Labouchere ([1-2-3-2-1] press line) and Flat Betting (1-1-1-1 constant unit) to 80 hands of No-Comm High-Tie (high-tie) with 85 units and a 60-unit roof, models 2.62u versus 1.21u in mathematical house hold and 14.82% versus 5.73% ruin.
Combinatorial stress ledger S246-2 measures Reverse Labouchere Line versus Flat 1-Unit Baseline across 80 coups (85u bankroll, 60u max bet), demonstrating that 1.4579% house edge and 5-hand runs enforce 14.82% vs 5.73% ruin along the multi-coup footprint.
| S246 envelope | Rev Labouchere | Flat Betting |
|---|---|---|
| Rev Labouchere / Flat Betting Rule | [1-2-3-2-1] press line | 1-1-1-1 constant unit |
| 80-Hand Ruin (85u) | 14.82% | 5.73% |
| No-Comm High-Tie Hold (1.4579%) | 2.62u | 1.21u |
| 5-Run Trough (60u Cap) | -28u | -13u |
Head-to-head matrix S246-3 subjects Rev Labouchere ([1-2-3-2-1] press line) and Flat Betting (1-1-1-1 constant unit) to 80 hands of No-Comm High-Tie (high-tie) with 85 units and a 60-unit roof, dissects 2.62u versus 1.21u in mathematical house hold and 14.82% versus 5.73% ruin.
Combinatorial stress ledger S246-4 quantifies Reverse Labouchere Line versus Flat 1-Unit Baseline across 80 coups (85u bankroll, 60u max bet), demonstrating that 1.4579% house edge and 5-hand runs enforce 14.82% vs 5.73% ruin along the drawdown-weighted cadence.
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Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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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.
Verify 8-deck combinatorial probabilities, Banker/Player house edge, and commission rules.
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