In head-to-head trial S174-0 across 70 deals (No-Comm Chop, 1.4579% edge), Fibonacci records a -19u peak threshold and 16.06% ruin probability on a 65-unit stack, whereas Flat Betting logs a -12u trough and 5.93% ruin under the 50-unit limit. 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 S174 (Fibonacci vs Flat Betting, Ping-Pong Chop 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 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Stress cell S174 compares 1-1-2-3-5-8-13-21-34 against 1-1-1-1 constant unit over 70 hands.
Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.
Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.
Reflects 9.55% tie frequency (7 pushes) and 1.83u in vigorish friction.
Within step-indexed testbed S174-1, a 65-unit bankroll facing 70 coups of No-Comm Chop (chop) and a 50-unit maximum wager documents 16.06% ruin (2.95u expected loss) on Fibonacci Negative Sequence versus 5.93% ruin (1.06u expected loss) on Flat 1-Unit Baseline.
In head-to-head trial S174-2 across 70 deals (No-Comm Chop, 1.4579% edge), Fibonacci records a -19u peak footprint and 16.06% ruin probability on a 65-unit stack, whereas Flat Betting logs a -12u trough and 5.93% ruin under the 50-unit limit.
| S174 envelope | Fibonacci | Flat Betting |
|---|---|---|
| Fibonacci / Flat Betting Rule | 1-1-2-3-5-8-13-21-34 | 1-1-1-1 constant unit |
| 70-Hand Ruin (65u) | 16.06% | 5.93% |
| No-Comm Chop Hold (1.4579%) | 2.95u | 1.06u |
| 2-Run Trough (50u Cap) | -19u | -12u |
Within variance-scaled testbed S174-3, a 65-unit bankroll facing 70 coups of No-Comm Chop (chop) and a 50-unit maximum wager profiles 16.06% ruin (2.95u expected loss) on Fibonacci Negative Sequence versus 5.93% ruin (1.06u expected loss) on Flat 1-Unit Baseline.
In head-to-head trial S174-4 across 70 deals (No-Comm Chop, 1.4579% edge), Fibonacci records a -19u peak cadence and 16.06% ruin probability on a 65-unit stack, whereas Flat Betting logs a -12u trough and 5.93% ruin under the 50-unit limit.
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