# 1 Computing probabilities using Python

- What are the basics of probability theory?
- Computing probabilities of a single observation
- Computing probabilities across a range of observations

## 1.1 Sample space analysis: An equation-free approach for measuring uncertainty in outcomes

### 1.1.1 Analyzing a biased coin

## 1.2 Computing nontrivial probabilities

### 1.2.1 Problem 1: Analyzing a family with four children

### 1.2.2 Problem 2: Analyzing multiple die rolls

### 1.2.3 Problem 3: Computing die-roll probabilities using weighted sample spaces

## 1.3 Computing probabilities over interval ranges

### 1.3.1 Evaluating extremes using interval analysis