# Discrete Distributions

Canonical: https://manyspace.aporia.systems/topics/discrete-distributions-mth-prob-201
Updated: 2026-10-13

Mathematics · Probability · MTH-PROB-201

- Difficulty: 3 / 5
- Importance: 5 / 5
- Study time: 4–7.5 h

Bernoulli, binomial, Poisson, geometric, negative binomial, hypergeometric

## Why it matters

The mathematics of uncertainty; foundation for statistics, ML, finance, quantum mechanics and stochastic processes.

## Where it is used

Risk assessment, A/B testing, machine learning models, financial derivatives, statistical mechanics, hiring decisions.

## How you know you have learned it

Solve ≥10 representative problems with ≥80% adjusted accuracy.

## What you need first

- [Integration by Parts](https://manyspace.aporia.systems/topics/integration-by-parts-mth-calc2-140) (required)
- [Counting Principles](https://manyspace.aporia.systems/topics/counting-principles-mth-disc-112) (helpful)

## Resources

- An Introduction to Probability Theory (Vol 1) — William Feller
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang
- Introduction to Probability (Blitzstein & Hwang) — Blitzstein & Hwang