If P(A) = 0.7, P(B) = 0.6, P(A ∩ B) = 0, then events A and B are
A) supplementary events.
B) mutually exclusive.
C) independent events.
D) complements of each other.

Question

Quizplus · Accepted Answer

If P(A ∩ B) = 0, then events A and B have no common outcomes. This means that they are mutually exclusive, and the correct choice is B. Supplementary events have probabilities that add up to 1 and are not relevant here. Independent events are events where the occurrence of one doesn't affect the probability of the other, which is also not relevant here. Finally, complements of each other are events where one occurs if and only if the other doesn't, and that is not the case here.