2.3 SET OPERATIONS

Most problems of interest in probability involve operations on events. The two basic set operations are union and intersection.

Definition: Union The union of two sets is the set of all elements in A or B or both:

(2.5) Numbered Display Equation

The sum notation A+B is sometimes used to denote the union operation.

Definition: Intersection The intersection of two sets is the set of elements common to A and B:

(2.6) Numbered Display Equation

The product notation AB is sometimes used to denote the intersection operation.

Example 2.11. If A = {1, 2, 3} and B = {3, 4}, then and . If and , then and . If , A = (a, b), and B

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