If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A $\cap$ B) =
A)0.30
B)0.15
C)0.00
D)0.20

Question

Quizplus · Accepted Answer

Since events A and B are mutually exclusive, they cannot occur at the same time. Therefore, the intersection of A and B is an empty set, and P(A ∩ B) = 0. Thus, P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = P(A) + P(B) = 0.3 + 0.5 = 0.8, which is the probability of either event A or event B occurring. The probability of A and B occurring together is 0, since they are mutually exclusive. Therefore, the probability of A and B occurring together (i.e., the intersection of A and B) is 0, and the answer is C.

If a and B Are Mutually Exclusive Events with P(A) ∩\cap∩

If a and B Are Mutually Exclusive Events with P(A) $\cap$