Let A and B be events in a sample space .S; P / with P .B/ 6D 0. Suppose also that P .x/

Chapter 32, Problem 32.14

(choose chapter or problem)

Let A and B be events in a sample space .S; P / with P .B/ 6D 0. Suppose also that P .x/ 6D 0 for all x 2 S. a. Prove that P .AjB/ D 1 if and only if B A. b. Show that P .AjB/ D 1 does not imply B A if we omit the hypothesis 8x 2 S; P .x/ 6D 0

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