Monte Carlo Analysis Agent Skill

Use this skill whenever the user asks to run a Monte Carlo simulation, model risk or uncertainty with random sampling, estimate P5/P50/P95 outcomes, or produce a probability distribution for project timelines, portfolio returns, downtime, costs, or similar uncertain variables. Trigger on phrases like 'run a Monte Carlo', 'simulate outcomes', 'probability chart for best and worst case', or when they give min/most-likely/max (or mean/std) and want thousands of iterations. Do NOT trigger for deterministic forecasts with no uncertainty, or for generic charts unrelated to simulation.

14k tokens

context cost

the whole folder, loaded on every use

files

ships runnable scripts

copies elsewhere

how many repositories repackaged it

46 d ago

last touched

this folder, not the whole repository

Install

one command, takes just this skill from the repository

npx skills add https://github.com/microsoft/cat-agent-skills --skill monte-carlo-analysis

What comes with it

50 477 bytes besides the instruction

README.md

assets/sample_exponential.json

assets/sample_lognormal.json

assets/sample_normal.json

assets/sample_poisson.json

assets/sample_triangular.json

assets/sample_weibull.json

metadata.json

references/cheatsheet.md

scripts/monte_carlo.py

The instruction itself

3 sections, as written by the author

Convert an unstructured risk question into a structured Monte Carlo run via the

bundled scripts/monte_carlo.py toolkit. Sample from the right distribution,

summarise percentiles, and return a histogram PNG plus spreadsheet export.

Offer an interactive HTML chart when the user asks for it.

Instructions

Cognitive intake. Detect the core question (timeline, financial risk,

yield, downtime, claims, etc.). If the user did not give enough numbers to

parameterise a distribution, stop and ask — do not invent bounds. Prompt

with the distribution options below.

Choose a distribution:
Triangular — user gives Minimum, Most Likely (peak), Maximum.
Normal — user gives Mean and Std Dev (optional base_modifier for

portfolio / compounding style: outcome = base * (1 + return)).

Uniform — every value between Minimum and Maximum is equally likely.
Log-normal — non-negative, right-skewed risks; user gives log-scale

mean and sigma. Highlight the Mean vs P50 gap when skew is large.

Poisson — count of rare events in a fixed interval; user gives lambda

(expected count per interval, e.g. outages per month).

Weibull — time-to-failure / reliability; user gives shape (k) and

scale (λ). Shape < 1 → infant mortality, = 1 → exponential, > 1 → wear-out.

Beta — bounded probability [0, 1] or percentage; user gives alpha and

beta. Useful for proportions, conversion rates, or task-completion estimates.

Exponential — memoryless inter-arrival times; user gives scale (mean =

1 / rate). Good for time between random events (calls, failures, requests).

Defaults. If simulations are unspecified, use 10000. Prefer a clear

chart_title and x_axis_label in the user's domain units (days, USD, hours).

Execute with the toolkit (import or CLI). Always produce:
Summary stats: mean, P5, P50, P95
PNG histogram with P5 / P50 / P95 marker lines
CSV of all iterations (opens in Excel)

Also produce when asked:

Interactive HTML — self-contained Chart.js page with live sliders per

distribution parameter, a simulations count slider, and a P-threshold

calculator (P(outcome < X) = ?)

.xlsx workbook (requires openpyxl; otherwise point them to the CSV)

import sys
sys.path.insert(0, "scripts")
from monte_carlo import simulate

result = simulate({
    "distribution": "triangular",
    "low": 12, "peak": 18, "high": 45,
    "simulations": 10000,
    "chart_title": "Cloud migration duration (days)",
    "x_axis_label": "Days",
    "html": True,          # optional interactive Chart.js page with live controls
    "excel": True,         # optional .xlsx (falls back to CSV if openpyxl missing)
    "out_prefix": "simulation",
})
# result keys: mean, p5, p50, p95, brief_summary, chart_path, csv_path, …

Present results in domain language:
P5 = downside / late / risk baseline
P50 = median expectation
P95 = optimistic / upper ceiling (or severe upside for cost/risk)
Show or link the PNG; mention CSV/Excel paths; offer HTML if not requested yet.
Always end with a brief summary (2–3 sentences). Prefer

result["brief_summary"] from the toolkit; you may lightly rephrase it into

the user's domain (days, dollars, hours) without changing the numbers.

Response layout (adapt labels to the domain):

### Simulation Analytics Report
Ran {simulations} iterations ({distribution}).

| Metric | Value |
| --- | --- |
| P5 (risk baseline) | {p5} |
| P50 (median) | {p50} |
| P95 (upper) | {p95} |
| Mean | {mean} |

Histogram: {chart_path}
Raw iterations: {csv_path}

### Brief summary
{brief_summary}

Guardrails

Never run the script when required parameters are missing — ask first.
Do not fabricate distribution parameters or claim false precision.
Prefer the bundled toolkit over hand-rolled NumPy each time, for consistent

charts and exports.

Keep LLM replies to the summary payload; do not dump all iteration rows

into chat.

Bundled files

scripts/monte_carlo.py — simulation engine, PNG, CSV/Excel, interactive HTML
references/cheatsheet.md — parameters, CLI, test prompts
assets/sample_triangular.json — demo payload (project timeline)
assets/sample_normal.json — demo payload (portfolio returns)
assets/sample_lognormal.json — demo payload (skewed downtime)
assets/sample_poisson.json — demo payload (event count per interval)
assets/sample_weibull.json — demo payload (component lifetime)
assets/sample_exponential.json — demo payload (time between arrivals)

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How to use it

Copy the folder

Take microsoft/monte-carlo-analysis from the repository into ~/.claude/skills for personal use, or into .claude/skills inside a project.

Check the name does not clash

The agent identifies a skill by the name field in its header. Two skills with the same name cannot sit side by side — one of them will be ignored.