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STAGE 2 STRESS TEST · MARTINGALE VS FIBONACCI

Martingale Doubling vs. Fibonacci Negative Sequence — Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push (144-Hand Stress Test)

Within step-indexed testbed S387-0, a 100-unit bankroll facing 144 coups of EZ Dragon Chop (chop) and a 75-unit maximum wager charts 31.68% ruin (6.62u expected loss) on Martingale Doubling versus 17.09% ruin (3.45u expected loss) on Fibonacci Negative Sequence. Because every 8-deck coup is statistically independent under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% edge), progression rules alter drawdown speed and table-cap collisions without changing per-hand expectation.

Martingale Ruin Rate
31.68%
Fibonacci Ruin Rate
17.09%
Peak Trough (3-Run)
-31u
EZ Dragon Chop House Edge
1.0284%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S387 (Martingale vs Fibonacci, Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push). 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 (EZ Dragon Chop)

Stress cell S387 compares 1-2-4-8-16-32-64 against 1-1-2-3-5-8-13-21-34 over 144 hands.

Head-to-Head Ruin Rate
31.68% vs 17.09%

Probability of exhausting the 100-unit bankroll under a 75-unit house bet limit.

Expected Session Hold
6.62u vs 3.45u

Theoretical erosion under EZ Baccarat 3-Card 7 Push (1.028% edge) (1.0284% house edge) across 144 coups.

Peak Drawdown Excursion
-31u vs -16u

Deepest unit trough triggered by a 3-hand run inside the chop shoe profile.

Tie Stalls & Commission Toll
14 Ties · 3.18u Drag

Reflects 9.72% tie frequency (14 pushes) and 3.18u in vigorish friction.

STRESS CELL S387 · CHOP SHOE PROFILE

Martingale vs. Fibonacci sequential survival-window (144 Hands · S387)

In head-to-head trial S387-1 across 144 deals (EZ Dragon Chop, 1.0284% edge), Martingale records a -31u peak dispersion and 31.68% ruin probability on a 100-unit stack, whereas Fibonacci logs a -16u trough and 17.09% ruin under the 75-unit limit.

Within variance-scaled testbed S387-2, a 100-unit bankroll facing 144 coups of EZ Dragon Chop (chop) and a 75-unit maximum wager documents 31.68% ruin (6.62u expected loss) on Martingale Doubling versus 17.09% ruin (3.45u expected loss) on Fibonacci Negative Sequence.

S387 survival-windowMartingaleFibonacci
Martingale / Fibonacci Rule1-2-4-8-16-32-641-1-2-3-5-8-13-21-34
144-Hand Ruin (100u)31.68%17.09%
EZ Dragon Chop Hold (1.0284%)6.62u3.45u
3-Run Trough (75u Cap)-31u-16u
VIGORISH & TABLE CEILING INTERACTION

EZ Dragon Chop Vigorish (3.18u) & 9.72% Tie Push Audit (S387)

In head-to-head trial S387-3 across 144 deals (EZ Dragon Chop, 1.0284% edge), Martingale records a -31u peak distribution and 31.68% ruin probability on a 100-unit stack, whereas Fibonacci logs a -16u trough and 17.09% ruin under the 75-unit limit.

Within session-bounded testbed S387-4, a 100-unit bankroll facing 144 coups of EZ Dragon Chop (chop) and a 75-unit maximum wager profiles 31.68% ruin (6.62u expected loss) on Martingale Doubling versus 17.09% ruin (3.45u expected loss) on Fibonacci Negative Sequence.

  • Trial S387: set a 100u stop before running Martingale vs Fibonacci over 144 hands.
  • Scenario S387 calibrates 3.18u in commission drag and 14 tie pushes (9.72% Tie rate).
  • Board rule S387: derived road red marks sequential column repetition and blue marks a structural break (survival-window), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Fibonacci to Martingale during Two-Shoe Doublet Chop under EZ Baccarat Dragon 7 Push neutralizes the 1.0284% house edge.
TruthOver 144 hands on a 100-unit stack, Martingale carries 6.62u expected loss (31.68% ruin) vs 3.45u (17.09% ruin) for Fibonacci.
MythDuring a 3-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