In an experiment, events A and B are mutually exclusive. If P(A) = .6, then the probability of B _____.
A) cannot be larger than .4
B) can be any value greater than .6
C) can be any value between 0 and 1
D) cannot be determined with the information given

Question

Quizplus · Accepted Answer

If events A and B are mutually exclusive, they cannot occur at the same time. Therefore, the probability of B must be less than or equal to the probability of the complement of A (i.e., the probability of A not occurring), which is 1-P(A) = 0.4. Therefore, B cannot be larger than 0.4.

In an Experiment, Events a and B Are Mutually Exclusive