Let A and B be events with $P ( A ) = 0.9 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.27$ . Are A and B mutually exclusive?

Question

Quizplus · Accepted Answer

A and B are not mutually exclusive because the probability of their intersection is not equal to 0. If events A and B were mutually exclusive, then their intersection would be an empty set and the probability of their intersection would be 0.

Let a and B Be Events With P(A)=0.9,P(B)=0.6, and P(A and B)=0.27P ( A ) = 0.9 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.27P(A)=0.9,P(B)=0.6, and P(A and B)=0.27

Let a and B Be Events With $P ( A ) = 0.9 , P ( B ) = 0.6 , \text { and } P ( A \text { and } B ) = 0.27$