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STAGE 2 STRESS TEST · PAROLI VS 2-1-2 MANHATTAN

Paroli 3-Step Press vs. 2-1-2 Manhattan Progression — 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay (80-Hand Stress Test)

In finite-shoe comparative trial S400-0, running Paroli against 2-1-2 Manhattan for 80 hands of No-Comm High-Tie (high-tie) on 85 units evaluates 1.69u vs 1.75u in expected toll and 10.89% vs 7.75% ruin under a 60-unit pit limit. 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.

Paroli Ruin Rate
10.89%
2-1-2 Manhattan Ruin Rate
7.75%
Peak Trough (5-Run)
-27u
No-Comm High-Tie 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 B P P B B P P B P B
Big Eye Boy = = ≠ = ≠ ≠ = = = = = = ≠ =
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = = = = ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ ≠ ≠ = = ≠ ≠

Reference 8-deck shoe for Stress Cell S400 (Paroli vs 2-1-2 Manhattan, 18% Tie-Heavy 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 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Matchup & Shoe Profile
Paroli vs 2-1-2 Manhattan (No-Comm High-Tie)

Stress cell S400 compares 1-2-4-reset against 2-1-2-3-4-5 over 80 hands.

Head-to-Head Ruin Rate
10.89% vs 7.75%

Probability of exhausting the 85-unit bankroll under a 60-unit house bet limit.

Expected Session Hold
1.69u vs 1.75u

Theoretical erosion under No-Commission Banker 6 (0.50:1 on 6) (1.4579% house edge) across 80 coups.

Peak Drawdown Excursion
-27u vs -19u

Deepest unit trough triggered by a 5-hand run inside the high-tie shoe profile.

Tie Stalls & Commission Toll
15 Ties · 1.05u Drag

Reflects 18.75% tie frequency (15 pushes) and 1.05u in vigorish friction.

STRESS CELL S400 · HIGH-TIE SHOE PROFILE

Paroli vs. 2-1-2 Manhattan variance-scaled trajectory (80 Hands · S400)

Under No-Comm High-Tie (1.4579% effective edge), commission-adjusted stress run S400-1 over 80 hands and a 85-unit treasury charts a -27u drawdown (10.89% ruin) for Paroli 3-Step Press against -19u (7.75% ruin) for 2-1-2 Manhattan Progression inside a 60-unit cap.

In multi-coup comparative trial S400-2, running Paroli against 2-1-2 Manhattan for 80 hands of No-Comm High-Tie (high-tie) on 85 units inspects 1.69u vs 1.75u in expected toll and 10.89% vs 7.75% ruin under a 60-unit pit limit.

S400 trajectoryParoli2-1-2 Manhattan
Paroli / 2-1-2 Manhattan Rule1-2-4-reset2-1-2-3-4-5
80-Hand Ruin (85u)10.89%7.75%
No-Comm High-Tie Hold (1.4579%)1.69u1.75u
5-Run Trough (60u Cap)-27u-19u
VIGORISH & TABLE CEILING INTERACTION

No-Comm High-Tie Vigorish (1.05u) & 18.75% Tie Push Audit (S400)

Under No-Comm High-Tie (1.4579% effective edge), discrete-time stress run S400-3 over 80 hands and a 85-unit treasury documents a -27u drawdown (10.89% ruin) for Paroli 3-Step Press against -19u (7.75% ruin) for 2-1-2 Manhattan Progression inside a 60-unit cap.

In drawdown-weighted comparative trial S400-4, running Paroli against 2-1-2 Manhattan for 80 hands of No-Comm High-Tie (high-tie) on 85 units audits 1.69u vs 1.75u in expected toll and 10.89% vs 7.75% ruin under a 60-unit pit limit.

  • Trial S400: set a 85u stop before running Paroli vs 2-1-2 Manhattan over 80 hands.
  • Scenario S400 measures 1.05u in commission drag and 15 tie pushes (18.75% Tie rate).
  • Board rule S400: derived road red marks variance-scaled column repetition and blue marks a structural break (trajectory), never Banker or Player.
Table Reality Check

Myth vs. Truth

MythSwitching from 2-1-2 Manhattan to Paroli during 18% Tie-Heavy Shoe under No-Commission Banker 6 Half-Pay neutralizes the 1.4579% house edge.
TruthOver 80 hands on a 85-unit stack, Paroli carries 1.69u expected loss (10.89% ruin) vs 1.75u (7.75% ruin) for 2-1-2 Manhattan.
MythDuring a 5-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

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  • 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