# 9: Sets and Probability

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• 9.1: Basics of Sets
A mathematical set is an unordered lists of things. The "things" in the sets are called elements. This section introduces sets and the notation and vocabulary we use to talk about them.
• 9.2: Union, Intersection, and Complement
Commonly sets interact. For example, you and a new roommate decide to have a house party, and you both invite your circle of friends. At this party, two sets are being combined, though it might turn out that there are some friends that were in both sets.
• 9.3: Venn Diagrams
Named after John Venn, Venn diagrams are a way to visually organize information. This section introduces the idea of using Venn diagrams to visualize set operations and answer questions about cardinality.
• 9.4: Introduction to Probability and Basic Concepts
If you roll a die, pick a card from deck of playing cards, or randomly select a person and observe their hair color, we are executing an experiment or procedure. In probability, we look at the likelihood of different outcomes.
• 9.5: Working with Events
• 9.6: Bayes' Theorem
• 9.7: Counting
• 9.8: Expected Value
• 9.9: Exercises

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