Within absorbing-barrier testbed S394-0, a 180-unit bankroll facing 288 coups of 4-Shoe Streak (streak) and a 100-unit maximum wager quantifies 54.45% ruin (18.78u expected loss) on Martingale Doubling versus 18.83% ruin (9.78u expected loss) on Fibonacci Negative Sequence. 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 S394 (Martingale vs Fibonacci, Four-Shoe 12-Run Volatility under No-Commission Banker 6). 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.
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 S394 compares 1-2-4-8-16-32-64 against 1-1-2-3-5-8-13-21-34 over 288 hands.
Probability of exhausting the 180-unit bankroll under a 100-unit house bet limit.
Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 288 coups.
Deepest unit trough triggered by a 12-hand run inside the streak shoe profile.
Reflects 9.03% tie frequency (26 pushes) and 11.64u in vigorish friction.
In head-to-head trial S394-1 across 288 deals (4-Shoe Streak, 1.4579% edge), Martingale records a -78u peak cycle-span and 54.45% ruin probability on a 180-unit stack, whereas Fibonacci logs a -41u trough and 18.83% ruin under the 100-unit limit.
Within eight-deck testbed S394-2, a 180-unit bankroll facing 288 coups of 4-Shoe Streak (streak) and a 100-unit maximum wager maps 54.45% ruin (18.78u expected loss) on Martingale Doubling versus 18.83% ruin (9.78u expected loss) on Fibonacci Negative Sequence.
| S394 boundary | Martingale | Fibonacci |
|---|---|---|
| Martingale / Fibonacci Rule | 1-2-4-8-16-32-64 | 1-1-2-3-5-8-13-21-34 |
| 288-Hand Ruin (180u) | 54.45% | 18.83% |
| 4-Shoe Streak Hold (1.4579%) | 18.78u | 9.78u |
| 12-Run Trough (100u Cap) | -78u | -41u |
In head-to-head trial S394-3 across 288 deals (4-Shoe Streak, 1.4579% edge), Martingale records a -78u peak capital-runway and 54.45% ruin probability on a 180-unit stack, whereas Fibonacci logs a -41u trough and 18.83% ruin under the 100-unit limit.
Within step-indexed testbed S394-4, a 180-unit bankroll facing 288 coups of 4-Shoe Streak (streak) and a 100-unit maximum wager charts 54.45% ruin (18.78u expected loss) on Martingale Doubling versus 18.83% ruin (9.78u expected loss) on Fibonacci Negative Sequence.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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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.