If p (A | B)= 0,then it follows that A and B must be
A)mutually exclusive
B)independent
C)factorial
D)both a and b

Question

Quizplus · Accepted Answer

If p(A | B) = 0, it means that the conditional probability of A given B is 0, which implies that event A never occurs when event B occurs. This is the definition of mutually exclusive events, where the occurrence of one event precludes the occurrence of the other event. Therefore, A and B must be mutually exclusive. Option B cannot be chosen as it implies A and B are independent, which contradicts the given condition. Option C is unrelated to the given condition. Therefore, the correct choice is A) mutually exclusive.

If P (A | B)= 0,then It Follows That a and B