STAT 400 Lecture Notes - Lecture 1: Venn Diagram, Mutual Exclusivity, Sample Space

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A collection of objects is called a set. The individual objects in a set are called the elements of the set. Venn diagrams can be used to keep track of either the elements in a set or their associated probabilities. From two given sets a and b we can make a new set that consists of all the elements of a and all the. This new set is called the union of a and b and is represented by the symbol (the union symbol is not the letter u. ) Ba = {a, b, c, d, e}. Notice that the elements c and d are in a as well as b, but they are written only. Ba = {x: x is in a once in the list for or x is in b}. Note that this is a non-exclusive use of the word or : the elements can be in a, or in b, or.

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