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STAGE 2 STRESS TEST · MARTINGALE VS FIBONACCI

Martingale Doubling vs. Fibonacci Negative Sequence — 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay (80-Hand Stress Test)

Across 80 resolved and tied deals under No-Comm High-Tie (1.4579% edge), finite-shoe comparison S386-0 audits Martingale Doubling against Fibonacci Negative Sequence on a 85-unit bankroll, showing that 5-hand clusters and a 60-unit ceiling drive 25.96% vs 11.42% stop-loss breaches along the discrete-time decay-rate. 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.

Martingale Ruin Rate
25.96%
Fibonacci Ruin Rate
11.42%
Peak Trough (5-Run)
-40u
No-Comm High-Tie House Edge
1.4579%
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 P P B B P P B P B
Big Eye Boy = = ≠ = ≠ ≠ = = = = = = ≠ =
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S386 (Martingale vs Fibonacci, 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay). 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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. 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.

Cockroach Pig Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  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.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Martingale vs Fibonacci (No-Comm High-Tie)

Stress cell S386 compares 1-2-4-8-16-32-64 against 1-1-2-3-5-8-13-21-34 over 80 hands.

Head-to-Head Ruin Rate
25.96% vs 11.42%

Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.

Expected Session Hold
5.22u vs 2.72u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.

Peak Drawdown Excursion
-40u vs -20u

Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
15 Ties · 3.24u Drag

Reflects 18.75% tie frequency (15 pushes) and 3.24u in vigorish friction.

STRESS CELL S386 · HIGH-TIE SHOE PROFILE

Martingale vs. Fibonacci variance-scaled capital-runway (80 Hands · S386)

Pairing a 85-unit bankroll against 80 hands of No-Comm High-Tie (1.4579% edge) in cell S386-1 profiles Martingale at 25.96% ruin and -40u peak absorption-curve, whereas Fibonacci records 11.42% ruin and -20u below the 60-unit ceiling.

Across 80 resolved and tied deals under No-Comm High-Tie (1.4579% edge), multi-coup comparison S386-2 verifies Martingale Doubling against Fibonacci Negative Sequence on a 85-unit bankroll, showing that 5-hand clusters and a 60-unit ceiling drive 25.96% vs 11.42% stop-loss breaches along the asymmetric distribution.

S386 capital-runwayMartingaleFibonacci
Martingale / Fibonacci Rule1-2-4-8-16-32-641-1-2-3-5-8-13-21-34
80-Hand Ruin (85u)25.96%11.42%
No-Comm High-Tie Hold (1.4579%)5.22u2.72u
5-Run Trough (60u Cap)-40u-20u
VIGORISH & TABLE CEILING INTERACTION

No-Comm High-Tie Vigorish (3.24u) & 18.75% Tie Push Audit (S386)

Pairing a 85-unit bankroll against 80 hands of No-Comm High-Tie (1.4579% edge) in cell S386-3 benchmarks Martingale at 25.96% ruin and -40u peak stake-velocity, whereas Fibonacci records 11.42% ruin and -20u below the 60-unit ceiling.

Across 80 resolved and tied deals under No-Comm High-Tie (1.4579% edge), drawdown-weighted comparison S386-4 tracks Martingale Doubling against Fibonacci Negative Sequence on a 85-unit bankroll, showing that 5-hand clusters and a 60-unit ceiling drive 25.96% vs 11.42% stop-loss breaches along the non-stationary survival-window.

  • Trial S386: set a 85u stop before running Martingale vs Fibonacci over 80 hands.
  • Scenario S386 evaluates 3.24u in commission drag and 15 tie pushes (18.75% Tie rate).
  • Board rule S386: derived road red marks variance-scaled column repetition and blue marks a structural break (capital-runway), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Fibonacci to Martingale during 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 80 hands on a 85-unit stack, Martingale carries 5.22u expected loss (25.96% ruin) vs 2.72u (11.42% ruin) for Fibonacci.
MythDuring a 5-hand high-tie 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