For Two Events $A$ And $B , P ( A ) = \frac { 1 } { 2 } , P ( B ) = \frac { 1 } { 3 }$

Multiple Choice

For two events, $A$ and $B , P ( A ) = \frac { 1 } { 2 } , P ( B ) = \frac { 1 } { 3 }$ , and $P ( A \cap B ) = \frac { 1 } { 4 }$ . Find $P ( B \mid A )$ .

A) $\frac { 1 } { 2 }$
B) $\frac { 1 } { 12 }$
C) $\frac { 3 } { 4 }$
D) $\frac { 1 } { 8 }$