A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let A: the event that the selected number is divisible by 2; B: the event that the selected number is divisible by 3; and C: the event that the selected number is divisible by 5. A. Interpret P[(B U C)|A]. B. Using the definition of conditional probability (Chapter II handout, page 131) and the fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X, n X3), find an expression for P[(B U C)|A] and use it to find P[(B U C)|A]. %3D

A number is randomly selected from S = {x: 20 < 2x < 200, x is an integer }. Let A: the event that the selected number is divisible by 2; B: the event that the selected number is divisible by 3; and C: the event that the selected number is divisible by 5. A. Interpret P[(B U C)|A]. B. Using the definition of conditional probability (Chapter II handout, page 131) and the fact that given three sets X1, X2, and X3, X1 N (X2 U X3) = (X1 N X2) U (X, n X3), find an expression for P[(B U C)|A] and use it to find P[(B U C)|A]. %3D

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 2E

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