设 $A, B$ 为随机事件, 若 $0 < P(A) < 1,0 < P(B) < 1$ ，则 $P(A \mid B)>P(A \mid \bar{B})$ 的充分必要条件是
$\text{A.}$ $P(B \mid A)>P(B \mid \bar{A})$
$\text{B.}$ $P(B \mid A) < P(B \mid \bar{A})$
$\text{C.}$ $P(\bar{B} \mid A)>P(B \mid \bar{A})$
$\text{D.}$ $P(\bar{B} \mid A) < P(B \mid \bar{A})$