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STAGE 2 STRESS TEST · MARTINGALE VS PAROLI

Martingale Doubling vs. Paroli 3-Step Press — 11-Hand Banker Run under No-Commission Banker 6 Half-Pay (74-Hand Stress Test)

Pairing a 90-unit bankroll against 74 hands of No-Comm Streak (1.4579% edge) in cell S315-0 tabulates Martingale at 29.27% ruin and -72u peak progression-curve, whereas Paroli records 6.29% ruin and -28u below the 65-unit ceiling. 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
29.27%
Paroli Ruin Rate
6.29%
Peak Trough (11-Run)
-72u
No-Comm Streak House Edge
1.4579%
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference 8-deck shoe for Stress Cell S315 (Martingale vs Paroli, 11-Hand Banker Run 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 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Martingale vs Paroli (No-Comm Streak)

Stress cell S315 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 74 hands.

Head-to-Head Ruin Rate
29.27% vs 6.29%

Probability of exhausting the 90-unit bankroll under a 65-unit house bet limit.

Expected Session Hold
4.83u vs 1.50u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 74 coups.

Peak Drawdown Excursion
-72u vs -28u

Deepest unit trough triggered by a 11-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
6 Ties · 2.99u Drag

Reflects 8.11% tie frequency (6 pushes) and 2.99u in vigorish friction.

STRESS CELL S315 · STREAK SHOE PROFILE

Martingale vs. Paroli capital-bounded survival-window (74 Hands · S315)

Across 74 resolved and tied deals under No-Comm Streak (1.4579% edge), bankroll-constrained comparison S315-1 models Martingale Doubling against Paroli 3-Step Press on a 90-unit bankroll, showing that 11-hand clusters and a 65-unit ceiling drive 29.27% vs 6.29% stop-loss breaches along the table-capped drawdown-slope.

Pairing a 90-unit bankroll against 74 hands of No-Comm Streak (1.4579% edge) in cell S315-2 measures Martingale at 29.27% ruin and -72u peak ledger, whereas Paroli records 6.29% ruin and -28u below the 65-unit ceiling.

S315 survival-windowMartingaleParoli
Martingale / Paroli Rule1-2-4-8-16-32-641-2-4-reset
74-Hand Ruin (90u)29.27%6.29%
No-Comm Streak Hold (1.4579%)4.83u1.50u
11-Run Trough (65u Cap)-72u-28u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Streak Vigorish (2.99u) & 8.11% Tie Push Audit (S315)

Across 74 resolved and tied deals under No-Comm Streak (1.4579% edge), absorbing-barrier comparison S315-3 dissects Martingale Doubling against Paroli 3-Step Press on a 90-unit bankroll, showing that 11-hand clusters and a 65-unit ceiling drive 29.27% vs 6.29% stop-loss breaches along the stochastic footprint.

Pairing a 90-unit bankroll against 74 hands of No-Comm Streak (1.4579% edge) in cell S315-4 quantifies Martingale at 29.27% ruin and -72u peak excursion, whereas Paroli records 6.29% ruin and -28u below the 65-unit ceiling.

  • Trial S315: set a 90u stop before running Martingale vs Paroli over 74 hands.
  • Scenario S315 maps 2.99u in commission drag and 6 tie pushes (8.11% Tie rate).
  • Board rule S315: derived road red marks capital-bounded column repetition and blue marks a structural break (survival-window), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Paroli to Martingale during 11-Hand Banker Run under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 74 hands on a 90-unit stack, Martingale carries 4.83u expected loss (29.27% ruin) vs 1.50u (6.29% ruin) for Paroli.
MythDuring a 11-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.
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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
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