Many machine learning techniques are built upon probabilistic reasoning. This chapter revisits the essential concepts of probability theory to ensure a solid foundation for the statistical methods covered later. We begin with the definitions of sample spaces and events, followed by conditional probability (P(A∣B)) and independence. You will learn about Bayes' Theorem, a key tool for updating probabilities based on new evidence: P(B∣A)=P(A)P(A∣B)P(B) The chapter introduces random variables, covering both discrete and continuous types, along with methods to compute their expected value (E[X]) and variance (Var(X)). Lastly, we will demonstrate how to implement these fundamental probability concepts using Python.
1.1 Review of Sample Spaces and Events
1.2 Conditional Probability and Independence
1.3 Bayes' Theorem Explained
1.4 Introduction to Random Variables
1.5 Expected Value and Variance
1.6 Applying Probability Concepts in Python
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