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STAGE 2 STRESS TEST · MARTINGALE VS PAROLI

Martingale Doubling vs. Paroli 3-Step Press — Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay (70-Hand Stress Test)

Evaluating Martingale vs Paroli in scenario S314-0 (70 hands, 65u stack, 50u table limit) dissects how 7 tie stalls (9.55%) and a 2-coup run shape table-capped footprint, yielding 23.91% vs 7.72% ruin. 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
23.91%
Paroli Ruin Rate
7.72%
Peak Trough (2-Run)
-24u
No-Comm Chop House Edge
1.4579%
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 B P B P B B P P B
Big Eye Boy = = = = ≠ = = = = ≠ ≠ = ≠ ≠
Small Road = = ≠ ≠ = = = ≠ ≠ ≠ = ≠
Cockroach Pig ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠

Reference 8-deck shoe for Stress Cell S314 (Martingale vs Paroli, Ping-Pong Chop Shoe 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 Chop)

Stress cell S314 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 70 hands.

Head-to-Head Ruin Rate
23.91% vs 7.72%

Probability of exhausting the 65-unit bankroll under a 50-unit house bet limit.

Expected Session Hold
4.56u vs 1.42u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 70 coups.

Peak Drawdown Excursion
-24u vs -13u

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

Tie Stalls & Commission Toll
7 Ties · 2.83u Drag

Reflects 9.55% tie frequency (7 pushes) and 2.83u in vigorish friction.

STRESS CELL S314 · CHOP SHOE PROFILE

Martingale vs. Paroli non-stationary capital-runway (70 Hands · S314)

Stress test S314-1 quantifies Martingale Doubling (1-2-4-8-16-32-64) against Paroli 3-Step Press (1-2-4-reset) inside a 65-unit bankroll over 70 hands (No-Comm Chop, chop), where a 50-unit table ceiling produces 23.91% vs 7.72% ruin rates and profiles 2.83u in step-indexed vigorish drag.

Evaluating Martingale vs Paroli in scenario S314-2 (70 hands, 65u stack, 50u table limit) computes how 7 tie stalls (9.55%) and a 2-coup run shape non-stationary cadence, yielding 23.91% vs 7.72% ruin.

S314 capital-runwayMartingaleParoli
Martingale / Paroli Rule1-2-4-8-16-32-641-2-4-reset
70-Hand Ruin (65u)23.91%7.72%
No-Comm Chop Hold (1.4579%)4.56u1.42u
2-Run Trough (50u Cap)-24u-13u
VIGORISH & TABLE CEILING INTERACTION

No-Comm Chop Vigorish (2.83u) & 9.55% Tie Push Audit (S314)

Stress test S314-3 maps Martingale Doubling (1-2-4-8-16-32-64) against Paroli 3-Step Press (1-2-4-reset) inside a 65-unit bankroll over 70 hands (No-Comm Chop, chop), where a 50-unit table ceiling produces 23.91% vs 7.72% ruin rates and dissects 2.83u in variance-scaled vigorish drag.

Evaluating Martingale vs Paroli in scenario S314-4 (70 hands, 65u stack, 50u table limit) evaluates how 7 tie stalls (9.55%) and a 2-coup run shape combinatorial escalation, yielding 23.91% vs 7.72% ruin.

  • Trial S314: set a 65u stop before running Martingale vs Paroli over 70 hands.
  • Scenario S314 benchmarks 2.83u in commission drag and 7 tie pushes (9.55% Tie rate).
  • Board rule S314: derived road red marks non-stationary column repetition and blue marks a structural break (capital-runway), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Paroli to Martingale during Ping-Pong Chop Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 70 hands on a 65-unit stack, Martingale carries 4.56u expected loss (23.91% ruin) vs 1.42u (7.72% ruin) for Paroli.
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