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

Question

Quizplus · Accepted Answer

If $P ( A \mid B ) = 0$ and $P ( A ) \neq 0$, then events $A$ and $B$ are mutually exclusive, meaning they cannot occur together, and thus they are dependent, not independent.

If P(A∣B)=0P ( A \mid B ) = 0P(A∣B)=0 And P(A)≠0P ( A ) \neq 0P(A)=0

If $P ( A \mid B ) = 0$ And $P ( A ) \neq 0$