If $$P ( A \mid B ) = 0 \text { and } P ( A ) \neq 0$$ , then which statement is false?
A) Events A and B are independent.
B) Events A and B are dependent.
C) Events A and B are mutually exclusive.
D) Events A and B have no sample points in common.

Question

Quizplus · Accepted Answer

If $ P(A \mid B) = 0 $ and $ P(A) \neq 0 $, it means that A and B are mutually exclusive, so they cannot be independent.

If P(A∣B)=0 and P(A)≠0P ( A \mid B ) = 0 \text { and } P ( A ) \neq 0P(A∣B)=0 and P(A)=0

If $P ( A \mid B ) = 0 \text { and } P ( A ) \neq 0$