Question
If $A$ and $B$ are events such that $P(A) = \frac{1}{4}$, $P(A \mid B) = \frac{1}{2}$, and $P(B \mid A) = \frac{2}{3}$, then $P(B)$ is
If $A$ and $B$ are events such that $P(A) = \frac{1}{4}$, $P(A \mid B) = \frac{1}{2}$, and $P(B \mid A) = \frac{2}{3}$, then $P(B)$ is