If P(A)=0.69, P(B)=0.4, and P(A or B)=0.73, are A and B mutually exclusive?

Question

Quizplus · Accepted Answer

A and B are not mutually exclusive because the probability of their intersection (P(A and B)) is not equal to 0. To find P(A and B), we can use the formula P(A or B) = P(A) + P(B) - P(A and B), which becomes 0.73 = 0.69 + 0.4 - P(A and B). Solving for P(A and B), we get P(A and B) = 0.36, which is not equal to 0. Therefore, A and B are not mutually exclusive.

If P(A)=069, P(B)=0