Intro to Probability

A comprehensive introduction to probability theory, covering fundamental concepts, distributions, and applications for data-driven decision-making.

Foundations of Probability

Unit 1: Basic Concepts of Probability

Unit 2: Event Relationships and Axioms

Counting Techniques and Basic Probability Rules

Unit 1: Fundamental Counting Principle

Unit 2: Permutations

Unit 3: Combinations

Unit 4: Basic Probability Rules

Conditional Probability and Bayes' Theorem

Unit 1: Understanding Conditional Probability

Unit 2: Bayes' Theorem

Unit 3: Advanced Applications of Bayes' Theorem

Discrete Random Variables and Distributions

Unit 1: Introduction to Discrete Random Variables

Unit 2: Bernoulli and Binomial Distributions

Unit 3: Poisson and Geometric Distributions

Continuous Random Variables and Distributions

Unit 1: Introduction to Continuous Random Variables

Unit 2: Uniform Distribution

Unit 3: Exponential Distribution

Unit 4: Normal Distribution

Applications of Probability and Expected Value

Unit 1: Probability in Machine Learning

Unit 2: Probability in AI and Expert Systems

Unit 3: Probability in Risk Management