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STAGE 2 STRESS TEST · MARTINGALE VS FIBONACCI

Martingale Doubling vs. Fibonacci Negative Sequence — Two-Shoe Strict Alternation on Even-Money Player Wagers (140-Hand Stress Test)

Under Player 1:1 Chop (1.2351% effective edge), non-stationary stress run S390-0 over 140 hands and a 95-unit treasury calibrates a -22u drawdown (30.63% ruin) for Martingale Doubling against -16u (16.53% ruin) for Fibonacci Negative Sequence inside a 70-unit cap. Because every 8-deck coup is statistically independent under Even-Money Player Side (1.235% edge) (1.2351% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Martingale Ruin Rate
30.63%
Fibonacci Ruin Rate
16.53%
Peak Trough (2-Run)
-22u
Player 1:1 Chop House Edge
1.2351%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S390 (Martingale vs Fibonacci, Two-Shoe Strict Alternation on Even-Money Player Wagers). 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. 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.

Cockroach Pig Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Martingale vs Fibonacci (Player 1:1 Chop)

Stress cell S390 compares 1-2-4-8-16-32-64 against 1-1-2-3-5-8-13-21-34 over 140 hands.

Head-to-Head Ruin Rate
30.63% vs 16.53%

Probability of exhausting the 95-unit bankroll under a 70-unit house bet limit.

Expected Session Hold
7.73u vs 4.03u

Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 140 coups.

Peak Drawdown Excursion
-22u vs -16u

Deepest unit trough triggered by a 2-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
13 Ties · 3.71u Drag

Reflects 9.29% tie frequency (13 pushes) and 3.71u in vigorish friction.

STRESS CELL S390 · CHOP SHOE PROFILE

Martingale vs. Fibonacci session-bounded envelope (140 Hands · S390)

In variance-scaled comparative trial S390-1, running Martingale against Fibonacci for 140 hands of Player 1:1 Chop (chop) on 95 units tabulates 7.73u vs 4.03u in expected toll and 30.63% vs 16.53% ruin under a 70-unit pit limit.

Under Player 1:1 Chop (1.2351% effective edge), combinatorial stress run S390-2 over 140 hands and a 95-unit treasury models a -22u drawdown (30.63% ruin) for Martingale Doubling against -16u (16.53% ruin) for Fibonacci Negative Sequence inside a 70-unit cap.

S390 envelopeMartingaleFibonacci
Martingale / Fibonacci Rule1-2-4-8-16-32-641-1-2-3-5-8-13-21-34
140-Hand Ruin (95u)30.63%16.53%
Player 1:1 Chop Hold (1.2351%)7.73u4.03u
2-Run Trough (70u Cap)-22u-16u
VIGORISH & TABLE CEILING INTERACTION

Player 1:1 Chop Vigorish (3.71u) & 9.29% Tie Push Audit (S390)

In session-bounded comparative trial S390-3, running Martingale against Fibonacci for 140 hands of Player 1:1 Chop (chop) on 95 units measures 7.73u vs 4.03u in expected toll and 30.63% vs 16.53% ruin under a 70-unit pit limit.

Under Player 1:1 Chop (1.2351% effective edge), asymmetric stress run S390-4 over 140 hands and a 95-unit treasury dissects a -22u drawdown (30.63% ruin) for Martingale Doubling against -16u (16.53% ruin) for Fibonacci Negative Sequence inside a 70-unit cap.

  • Trial S390: set a 95u stop before running Martingale vs Fibonacci over 140 hands.
  • Scenario S390 inspects 3.71u in commission drag and 13 tie pushes (9.29% Tie rate).
  • Board rule S390: derived road red marks session-bounded column repetition and blue marks a structural break (envelope), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Fibonacci to Martingale during Two-Shoe Strict Alternation on Even-Money Player Wagers neutralizes the 1.2351% house edge.
TruthOver 140 hands on a 95-unit stack, Martingale carries 7.73u expected loss (30.63% ruin) vs 4.03u (16.53% ruin) for Fibonacci.
MythDuring a 2-hand chop 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