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STAGE 2 STRESS TEST · MARTINGALE VS PAROLI

Martingale Doubling vs. Paroli 3-Step Press — Four-Shoe 12-Run Volatility under No-Commission Banker 6 (288-Hand Stress Test)

Head-to-head matrix S324-0 subjects Martingale (1-2-4-8-16-32-64) and Paroli (1-2-4-reset) to 288 hands of 4-Shoe Streak (streak) with 180 units and a 100-unit roof, evaluates 18.78u versus 5.85u in mathematical house hold and 55.03% versus 11.82% 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
55.03%
Paroli Ruin Rate
11.82%
Peak Trough (12-Run)
-74u
4-Shoe Streak 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 P B P B B P P B B P B
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = =
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = =
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =

Reference 8-deck shoe for Stress Cell S324 (Martingale vs Paroli, Four-Shoe 12-Run Volatility under No-Commission Banker 6). 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

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 (4-Shoe Streak)

Stress cell S324 compares 1-2-4-8-16-32-64 against 1-2-4-reset over 288 hands.

Head-to-Head Ruin Rate
55.03% vs 11.82%

Probability of exhausting the 180-unit bankroll under a 100-unit house bet limit.

Expected Session Hold
18.78u vs 5.85u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 288 coups.

Peak Drawdown Excursion
-74u vs -28u

Deepest unit trough triggered by a 12-hand run inside the streak shoe profile.

Tie Stalls & Commission Toll
26 Ties · 11.64u Drag

Reflects 9.03% tie frequency (26 pushes) and 11.64u in vigorish friction.

STRESS CELL S324 · STREAK SHOE PROFILE

Martingale vs. Paroli finite-shoe volatility-band (288 Hands · S324)

Combinatorial stress ledger S324-1 charts Martingale Doubling versus Paroli 3-Step Press across 288 coups (180u bankroll, 100u max bet), demonstrating that 1.4579% house edge and 12-hand runs enforce 55.03% vs 11.82% ruin along the house-edge-anchored decay-rate.

Head-to-head matrix S324-2 subjects Martingale (1-2-4-8-16-32-64) and Paroli (1-2-4-reset) to 288 hands of 4-Shoe Streak (streak) with 180 units and a 100-unit roof, inspects 18.78u versus 5.85u in mathematical house hold and 55.03% versus 11.82% ruin.

S324 volatility-bandMartingaleParoli
Martingale / Paroli Rule1-2-4-8-16-32-641-2-4-reset
288-Hand Ruin (180u)55.03%11.82%
4-Shoe Streak Hold (1.4579%)18.78u5.85u
12-Run Trough (100u Cap)-74u-28u
VIGORISH & TABLE CEILING INTERACTION

4-Shoe Streak Vigorish (11.64u) & 9.03% Tie Push Audit (S324)

Combinatorial stress ledger S324-3 documents Martingale Doubling versus Paroli 3-Step Press across 288 coups (180u bankroll, 100u max bet), demonstrating that 1.4579% house edge and 12-hand runs enforce 55.03% vs 11.82% ruin along the table-capped threshold.

Head-to-head matrix S324-4 subjects Martingale (1-2-4-8-16-32-64) and Paroli (1-2-4-reset) to 288 hands of 4-Shoe Streak (streak) with 180 units and a 100-unit roof, audits 18.78u versus 5.85u in mathematical house hold and 55.03% versus 11.82% ruin.

  • Trial S324: set a 180u stop before running Martingale vs Paroli over 288 hands.
  • Scenario S324 measures 11.64u in commission drag and 26 tie pushes (9.03% Tie rate).
  • Board rule S324: derived road red marks finite-shoe column repetition and blue marks a structural break (volatility-band), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from Paroli to Martingale during Four-Shoe 12-Run Volatility under No-Commission Banker 6 neutralizes the 1.4579% house edge.
TruthOver 288 hands on a 180-unit stack, Martingale carries 18.78u expected loss (55.03% ruin) vs 5.85u (11.82% ruin) for Paroli.
MythDuring a 12-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

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