Unit 1

SET THEORY

Introduction to Set Theory

Set-Builder Notation

Equal and Equivalent Sets

Subsets and Proper Subsets

The Universal Set and Set Complements

Set Operations and Venn Diagrams, part 1

Set Operations and Venn Diagrams, part 2

Set Operations and Venn Diagrams, part 3

Solving Word Problems with Venn Diagrams, part 1

Solving Word Problems with Venn Diagrams, part 2

PERMUTATIONS AND COMBINATIONS

Permutations and Combinations - the basics (all of the rules in one video)

Permutations and Combinations, part 1 (permutations for all or part of a set)

Permutations and Combinations, part 2 (permutations with repeated elements)

Permutations and Combinations, part 3 (combinations)

Permutations and Combinations - word problems

PROBABILITY

Introduction to Probability

Probability and Law of Large Numbers (Bernoulli's Theorem)

Probability of Mutually Exclusive and Non-Mutually Exclusive Events

Probability of the Complement of an Event

Probability for Independent and Dependent Events (Multi-Stage Events)

Odds vs Probability

Conditional Probability, part 1 (two basic examples)

Conditional Probability, part 2 (a more difficult example)

Expected Value

Expected Value and the SAT (should you guess on a multiple choice test?)