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STAGE 2 STRESS TEST · MARTINGALE VS FIBONACCI

Martingale Doubling vs. Fibonacci Negative Sequence — 9-Hand Dragon Streak Shoe under 5% Banker Commission (75-Hand Stress Test)

When 5% Comm Streak (streak) injects a 9-hand extreme run and 6 tie pushes (8.4% Tie density) over 75 coups, capital-bounded audit S382-0 maps Martingale Doubling at 3.55u expected erosion (31.63% ruin) compared with 1.85u (10.46% ruin) for Fibonacci Negative Sequence on 80 units. 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.

Martingale Ruin Rate
31.63%
Fibonacci Ruin Rate
10.46%
Peak Trough (9-Run)
-63u
5% Comm Streak House Edge
1.0579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B B B P P P P B B P B
Big Eye Boy = = = ≠ = ≠ = = = = = = ≠ ≠
Small Road = ≠ = ≠ = ≠ = ≠ = = ≠ ≠
Cockroach Pig = ≠ = ≠ = ≠ ≠ ≠

Reference 8-deck shoe for Stress Cell S382 (Martingale vs Fibonacci, 9-Hand Dragon Streak Shoe under 5% Banker Commission). Big Road shows Banker (red) and Player (blue); derived roads track symmetry.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. 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.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. 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.

Cockroach Pig Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. 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.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Martingale vs Fibonacci (5% Comm Streak)

Stress cell S382 compares 1-2-4-8-16-32-64 against 1-1-2-3-5-8-13-21-34 over 75 hands.

Head-to-Head Ruin Rate
31.63% vs 10.46%

Probability of exhausting the 80-unit bankroll under a 60-unit house bet limit.

Expected Session Hold
3.55u vs 1.85u

Theoretical erosion under 5% Banker Commission (0.95:1) (1.0579% house edge) across 75 coups.

Peak Drawdown Excursion
-63u vs -31u

Deepest unit trough triggered by a 9-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
6 Ties · 1.70u Drag

Reflects 8.4% tie frequency (6 pushes) and 1.70u in vigorish friction.

STRESS CELL S382 · STREAK SHOE PROFILE

Martingale vs. Fibonacci step-indexed drawdown-slope (75 Hands · S382)

Benchmark S382-1 evaluates the sequential stake-velocity between Martingale and Fibonacci over 75 hands of 5% Comm Streak: with 80 units, a 60-unit cap, and 1.0579% house edge, ruin settles at 31.63% vs 10.46% while bankroll-constrained drawdown-slope reaches -63u.

When 5% Comm Streak (streak) injects a 9-hand extreme run and 6 tie pushes (8.4% Tie density) over 75 coups, bankroll-constrained audit S382-2 charts Martingale Doubling at 3.55u expected erosion (31.63% ruin) compared with 1.85u (10.46% ruin) for Fibonacci Negative Sequence on 80 units.

S382 drawdown-slopeMartingaleFibonacci
Martingale / Fibonacci Rule1-2-4-8-16-32-641-1-2-3-5-8-13-21-34
75-Hand Ruin (80u)31.63%10.46%
5% Comm Streak Hold (1.0579%)3.55u1.85u
9-Run Trough (60u Cap)-63u-31u
VIGORISH & TABLE CEILING INTERACTION

5% Comm Streak Vigorish (1.70u) & 8.4% Tie Push Audit (S382)

Benchmark S382-3 inspects the stochastic drawdown-slope between Martingale and Fibonacci over 75 hands of 5% Comm Streak: with 80 units, a 60-unit cap, and 1.0579% house edge, ruin settles at 31.63% vs 10.46% while discrete-time footprint reaches -63u.

When 5% Comm Streak (streak) injects a 9-hand extreme run and 6 tie pushes (8.4% Tie density) over 75 coups, absorbing-barrier audit S382-4 documents Martingale Doubling at 3.55u expected erosion (31.63% ruin) compared with 1.85u (10.46% ruin) for Fibonacci Negative Sequence on 80 units.

  • Trial S382: set a 80u stop before running Martingale vs Fibonacci over 75 hands.
  • Scenario S382 computes 1.70u in commission drag and 6 tie pushes (8.4% Tie rate).
  • Board rule S382: derived road red marks step-indexed column repetition and blue marks a structural break (drawdown-slope), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Fibonacci to Martingale during 9-Hand Dragon Streak Shoe under 5% Banker Commission neutralizes the 1.0579% house edge.
TruthOver 75 hands on a 80-unit stack, Martingale carries 3.55u expected loss (31.63% ruin) vs 1.85u (10.46% ruin) for Fibonacci.
MythDuring a 9-hand streak sequence, red marks on Big Eye Boy or Small Road indicate Banker is favored next.
TruthDerived road colors never represent Banker or Player: red denotes repeatingBig Road structure and blue denotes breaking structure.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android