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ClaudSkills / Science & Research / math-stats

Probability Theory

Category: Science & Research  ·  Sub-category: math-stats  ·  Last updated:
Mathematical foundations of uncertainty and random phenomena. Covers sample spaces, events, axioms, conditional probability, Bayes' theorem, independence, random variables, distributions (discrete and continuous), expected value, variance, the law of large numbers, and the central limit theorem. Use when computing probabilities, reasoning about random events, working with probability distributions, or building the foundation for statistical inference.
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About this skill (catalog notes)

Probability Theory includes worked examples. The SKILL.md runs to about 1,427 words, in the catalog's typical mid-range.

Indexed lastmod
Catalog position
Science & Research · math-stats
Indexed related skills
10

How Probability Theory fits the catalog

Probability Theory sits in the Science & Research category under the math-stats sub-topic in the ClaudSkills catalog. There are 10 related skills indexed alongside it; comparing a few before installing usually reveals which fits your workflow best.

These notes are auto-generated from features detected in the SKILL.md file and from this catalog's structure — they aren't part of the source repository.

From the source SKILL.md

Probability is the mathematical language of uncertainty. It provides the axiomatic foundation on which all of statistical inference rests: without probability, there is no hypothesis testing, no confidence intervals, no Bayesian updating, no regression. This skill covers the core machinery from sample spaces through the central limit theorem.

What this skill does

Probability Theory is a community-contributed Claude Code skill in the math-stats sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/probability-theory/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when computing probabilities, reasoning about random events, working with probability distributions, or building the foundation for statistical inference.

Who uses this skill

The Probability Theory Claude Code skill is built for researchers, data scientists, academics, and analysts working with complex data and scientific literature. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 115,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/probability-theory
curl -L https://claudskills.com/skills/probability-theory/SKILL.md \
  -o ~/.claude/skills/probability-theory/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/probability-theory/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/probability-theory/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\probability-theory\SKILL.md on Windows. See the full install guide for step-by-step instructions.

Telegram

📱 Install from your phone or desktop Telegram

Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

Pro

For the full experience including quality scoring and one-click install features for each skill — upgrade to Pro.

Frequently asked questions

How do I install the Probability Theory Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/probability-theory/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.
What does the Probability Theory skill do?
Mathematical foundations of uncertainty and random phenomena. Covers sample spaces, events, axioms, conditional probability, Bayes' theorem, independence, random variables, distributions (discrete and continuous), expected value, variance, the law of large numbers, and the central limit theorem. Use when computing probabilities, reasoning about random events, working with probability distributions, or building the foundation for statistical inference.
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Probability Theory skill?
Use Probability Theory when your Claude Code task falls under the Science & Research category — specifically in the math stats area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Probability Theory" or describe the task and let Claude pick). Browse related skills at /category/science/.
What is a Claude Code skill and how does the Probability Theory skill fit in?
A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Probability Theory is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Science & Research category. Learn more at /learn/what-is-a-claude-skill/.

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA
ClaudSkills. (2026). Probability Theory [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/probability-theory/
BibTeX
@misc{probability-theory-2026,
  author    = {ClaudSkills},
  title     = {Probability Theory [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/probability-theory/}
}

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More Science & Research skills

Browse all Science & Research skills in the ClaudSkills registry, or explore these other picks from the same category:

Browse all Science & Research skills → Top 100 skills
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