If Events A and B are not mutually exclusive,then the probability that one of the events will occur is represented by
A) P(A or B)= P(A)+ P(B)- P(A and B)
B) P(A or B)= P(A)+ P(B)
C) P(A and B)= P(A)+ P(B)- P(A or B)
D) P(A and B)= P(A)+ P(B)
E) P(A or B)= P(A)+ P(B)+ P(A and B)

Question

Quizplus · Accepted Answer

If events A and B are not mutually exclusive, then they can occur together as well. So, if we simply add the probabilities of A and B, we will be counting the probability of A and B occurring together twice. Hence, we need to subtract the probability of A and B occurring together from the sum of their individual probabilities, which is given by P(A or B) = P(A) + P(B) - P(A and B).

If Events a and B Are Not Mutually Exclusive,then the Probability