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

Multiple Choice

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 dependent.
C) Events $A$ and $B$ are independent.
D) Events $A$ and $B$ are mutually exclusive.