Probability

1. Definitions

1.1. Experiment

1.2. Outcome

1.3. Event

1.4. Probability of an event

2. Types of Probability

2.1. Experimental (Empirical) Probability

2.2. Theoretical (Classical) Probability

2.3. Subjective Probability

3. Probability Distributions

3.1. Discrete Distributions

3.1.1. Binomial Distribution

3.1.2. Poisson Distribution

3.1.3. Geometric Distribution

3.2. Continuous Distributions

3.2.1. Uniform Distribution

3.2.2. Normal Distribution

3.2.3. Exponential Distribution

4. Historical Context

4.1. The history of Probability Theory

4.2. The pioneers

4.2.1. Pierre-Simon Laplace

4.2.2. Blaise Pascal

4.2.3. Andrey Kolmogorov

5. Basic Concepts

5.1. Randomness and Probability

5.2. Sample Space

5.3. Set Theory

6. Rules of Probability

6.1. Addition Rule

6.2. Multiplication Rule

6.3. Conditional Probability

6.4. Bayes' Theorem

7. Applications of Probability

7.1. Decision Making

7.2. Risk Assessment

7.3. Statistics

7.4. Game Theory

7.5. Predictive Analytics