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

Mutually exclusive events cannot occur at the same time, so the intersection of A and B has a probability of 0. Therefore, P(A ∩ B) = 0, and P(A ∪ B) = P(A) + P(B) = 0.3 + 0.5 = 0.8, but the question asks for the intersection, not the union. Therefore, P(A ∩ B) = 0.

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

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