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The Book of Probability
1 Foundations of Probability
- Sample Spaces and Events
- Modeling Events with Venn Diagrams
- The Axioms of Probability
- Basic Theorems Derived from the Axioms
- Uniform Randomness
- Probability via Counting
- Continuity of the Probability Function
- Probabilities of 0 and 1
- Geometric Probability
- An Example Set That Is Not an Event
- Estimating Probability with Simulations
2 Conditional Probability and Independence
- Conditional Probability
- A Closer Look at Conditional Probability