STAT 22500 Lecture 1: Student Notes

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The material in this handout is intended to cover general set theory topics. Information includes (but is not limited to) introductory probabilities, outcome spaces, sample spaces, laws of probabil- ity, and venn diagrams. This covers section 1. 2 and all of chapter 2 from a course in probability by neil weiss. An element is a single item (outcome), typically denoted by . A subset is a set itself, in which every element is contained in a larger set. Suppose the set a is contained in the set b. This is denoted by a b or a b depending on whether or not b has elements which are not in a. If b contains elements that are not in a, then a is called a proper subset of b. A population is the collection of all individuals or items under consideration. An individual could refer to a person, a playing card, or whatever object we are interested in.

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