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STAGE 2 STRESS TEST · MARTINGALE VS PAROLI

Martingale Doubling vs. Paroli 3-Step Press — Three-Shoe 15% Tie Density on Even-Money Player Wagers (210-Hand Stress Test)

Pairing a 130-unit bankroll against 210 hands of Player High-Tie (1.2351% edge) in cell S322-0 verifies Martingale at 43.03% ruin and -37u peak decay-rate, whereas Paroli records 11.46% ruin and -14u below the 85-unit ceiling. 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
43.03%
Paroli Ruin Rate
11.46%
Peak Trough (4-Run)
-37u
Player High-Tie 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 P B B B P P B B B P P B
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = ≠ ≠ = =
Small Road = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig = = ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S322 (Martingale vs Paroli, Three-Shoe 15% Tie Density 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

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

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column 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.

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

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 Paroli (Player High-Tie)

Stress cell S322 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 210 hands.

Head-to-Head Ruin Rate
43.03% vs 11.46%

Probability of exhausting the 130-unit bankroll under a 85-unit house bet limit.

Expected Session Hold
11.60u vs 3.61u

Theoretical erosion under Even-Money Player Side (1.235% edge) (1.2351% house edge) across 210 coups.

Peak Drawdown Excursion
-37u vs -14u

Deepest unit trough triggered by a 4-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
32 Ties · 5.57u Drag

Reflects 15.24% tie frequency (32 pushes) and 5.57u in vigorish friction.

STRESS CELL S322 · HIGH-TIE SHOE PROFILE

Martingale vs. Paroli asymmetric boundary (210 Hands · S322)

Across 210 resolved and tied deals under Player High-Tie (1.2351% edge), discrete-time comparison S322-1 benchmarks Martingale Doubling against Paroli 3-Step Press on a 130-unit bankroll, showing that 4-hand clusters and a 85-unit ceiling drive 43.03% vs 11.46% stop-loss breaches along the eight-deck drawdown-slope.

Pairing a 130-unit bankroll against 210 hands of Player High-Tie (1.2351% edge) in cell S322-2 tracks Martingale at 43.03% ruin and -37u peak threshold, whereas Paroli records 11.46% ruin and -14u below the 85-unit ceiling.

S322 boundaryMartingaleParoli
Martingale / Paroli Rule1-2-4-8-16-32-641-2-4-reset
210-Hand Ruin (130u)43.03%11.46%
Player High-Tie Hold (1.2351%)11.60u3.61u
4-Run Trough (85u Cap)-37u-14u
VIGORISH & TABLE CEILING INTERACTION

Player High-Tie Vigorish (5.57u) & 15.24% Tie Push Audit (S322)

Across 210 resolved and tied deals under Player High-Tie (1.2351% edge), capital-bounded comparison S322-3 calibrates Martingale Doubling against Paroli 3-Step Press on a 130-unit bankroll, showing that 4-hand clusters and a 85-unit ceiling drive 43.03% vs 11.46% stop-loss breaches along the bankroll-constrained footprint.

Pairing a 130-unit bankroll against 210 hands of Player High-Tie (1.2351% edge) in cell S322-4 tabulates Martingale at 43.03% ruin and -37u peak footprint, whereas Paroli records 11.46% ruin and -14u below the 85-unit ceiling.

  • Trial S322: set a 130u stop before running Martingale vs Paroli over 210 hands.
  • Scenario S322 models 5.57u in commission drag and 32 tie pushes (15.24% Tie rate).
  • Board rule S322: derived road red marks asymmetric column repetition and blue marks a structural break (boundary), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Paroli to Martingale during Three-Shoe 15% Tie Density on Even-Money Player Wagers neutralizes the 1.2351% house edge.
TruthOver 210 hands on a 130-unit stack, Martingale carries 11.60u expected loss (43.03% ruin) vs 3.61u (11.46% ruin) for Paroli.
MythDuring a 4-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