Section 4.1 Basic Concepts of Probability

Lecture Video 4.1.1: Probability Essentials
This minilecture provides a very general overview for the course, introduces you to the instructor, and explains what qualifies him to teach this course.

Lecture Video 4.1.2: Approaches to Calculating Probability

Lecture Video 4.1.3: Simulations

Lecture Video 4.1.4: The Law of Large Numbers

Lecture Video 4.1.5: Complementary Events

Lecture Video 4.1.6: Odds

Section 4.2 The Addition and Multiplication Rules

Lecture Video 4.2.1: Compound Events

Lecture Video 4.2.2: The Addition Rule

Lecture Video 4.2.3: Venn Diagrams and Disjoint Events

Lecture Video 4.2.4: The Multiplication Rule

Lecture Video 4.2.5: Event Dependencies

Lecture Video 4.2.6: Tree Diagrams

Section 4.3 Complementary and Conditional Probabilities

Lecture Video 4.3.1: The Probability of "At Least One"

Lecture Video 4.3.2: Conditional Probability

Lecture Video 4.3.3: Confusion of the Inverse

Lecture Video 4.3.4: Bayes' Theorem

Section 4.4 Counting

Lecture Video 4.4.1: Factorials

Lecture Video 4.4.2: Permutations

Lecture Video 4.4.3: Combinations

Lecture Video 4.4.4: Performing Counting Calculations

Section 4.5 Probabilities Through Simulations

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