Question

Given the following information about events A, B, and C,

determine which pairs of events, if any, are independent and which
pairs and mutually exclusive.



P(A)=0.02
P(A|B)=0


P(B)=0.02
P(C|B)=0.15

Answer 1

Events A and B are independent, while events A and C are not mutually exclusive.

Step-by-step explanation:

Events A and B are independent if the probability of A occurring is not affected by the occurrence of B, and vice versa. For example, if P(A) = 0.02 and P(A|B) = 0, then event A occurring is not dependent on event B.

Events A and C are mutually exclusive if they cannot occur at the same time. However, since P(A) = 0.02 and P(C|B) = 0.15, there is a possibility that event C can occur given event B, so A and C are not mutually exclusive.