Comprehensive Introduction to Probability Theory and Applications

Dive into a comprehensive 47-minute video tutorial on probability, covering everything from a standard 500-page textbook. Learn essential concepts and formulas while solving real-world problems. Explore topics such as union, intersection, conditional probability, Bayes' Theorem, combinatorics, distributions, and more. Follow along with the detailed table of contents to easily navigate through specific subjects. Gain a solid understanding of probability theory and its practical applications in data science and various fields.

Intro
Probability Definitions
Union
Intersection
Complement
Conditional Probability
Contingency Table
Addition Rule
Joint Probability
Dependent vs. Independent
Independent Events
Mutually Exclusive Events
Venn Diagrams
Tree Diagrams
Total Probability
Bayes' Theorem
Combinatorics
Permutations
Combinations
Poker Probabilities
Which to use?
Variations
Types of Variables
Discrete Uniform Distribution
Probability Mass
Variance
Relative Frequency Histogram
Cumulative Distribution
Expected Value
Standard Deviation
Normal Distribution
Z Score
Negative Z Score
Reverse Z Score
Confidence Intervals
Binomial Probability
Poisson Distribution
Geometric Probability
Central Limit Theorem
Negative Binomial Probability
Which to use?
Negative Binomial Formula
Hypergeometric Distribution
Continuous Probability
Continuous Probability Formula
Exponential Distribution
Exponential Formulas