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STAGE 2 STRESS TEST · MARTINGALE VS PAROLI

Martingale Doubling vs. Paroli 3-Step Press — 9-Hand Dragon Streak Shoe under 5% Banker Commission (75-Hand Stress Test)

In capital-bounded comparative trial S312-0, running Martingale against Paroli for 75 hands of 5% Comm Streak (streak) on 80 units inspects 3.55u vs 1.11u in expected toll and 32.21% vs 6.35% ruin under a 60-unit pit limit. 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
32.21%
Paroli Ruin Rate
6.35%
Peak Trough (9-Run)
-59u
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 S312 (Martingale vs Paroli, 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 Paroli (5% Comm Streak)

Stress cell S312 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 75 hands.

Head-to-Head Ruin Rate
32.21% vs 6.35%

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

Expected Session Hold
3.55u vs 1.11u

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

Peak Drawdown Excursion
-59u vs -22u

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 S312 · STREAK SHOE PROFILE

Martingale vs. Paroli step-indexed cadence (75 Hands · S312)

Under 5% Comm Streak (1.0579% effective edge), sequential stress run S312-1 over 75 hands and a 80-unit treasury documents a -59u drawdown (32.21% ruin) for Martingale Doubling against -22u (6.35% ruin) for Paroli 3-Step Press inside a 60-unit cap.

In bankroll-constrained comparative trial S312-2, running Martingale against Paroli for 75 hands of 5% Comm Streak (streak) on 80 units audits 3.55u vs 1.11u in expected toll and 32.21% vs 6.35% ruin under a 60-unit pit limit.

S312 cadenceMartingaleParoli
Martingale / Paroli Rule1-2-4-8-16-32-641-2-4-reset
75-Hand Ruin (80u)32.21%6.35%
5% Comm Streak Hold (1.0579%)3.55u1.11u
9-Run Trough (60u Cap)-59u-22u
VIGORISH & TABLE CEILING INTERACTION

5% Comm Streak Vigorish (1.70u) & 8.4% Tie Push Audit (S312)

Under 5% Comm Streak (1.0579% effective edge), stochastic stress run S312-3 over 75 hands and a 80-unit treasury profiles a -59u drawdown (32.21% ruin) for Martingale Doubling against -22u (6.35% ruin) for Paroli 3-Step Press inside a 60-unit cap.

In absorbing-barrier comparative trial S312-4, running Martingale against Paroli for 75 hands of 5% Comm Streak (streak) on 80 units verifies 3.55u vs 1.11u in expected toll and 32.21% vs 6.35% ruin under a 60-unit pit limit.

  • Trial S312: set a 80u stop before running Martingale vs Paroli over 75 hands.
  • Scenario S312 verifies 1.70u in commission drag and 6 tie pushes (8.4% Tie rate).
  • Board rule S312: derived road red marks step-indexed column repetition and blue marks a structural break (cadence), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Paroli 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 (32.21% ruin) vs 1.11u (6.35% ruin) for Paroli.
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

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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