Read the two statements and choose the correct option.

I. $P(A \mid B) \ge P(A \cap B)$ whenever $P(B) > 0$.

II. If $P(A) > 0$, $P(B) > 0$ and $P(A \mid B) = P(A)$, then $P(B \mid A) = P(B)$.

Explanation

1. 01

   I: $P(A \mid B) = \frac{P(A \cap B)}{P(B)}$, and dividing by $P(B) \le 1$ cannot make a number smaller. True.

2. 02

   II: $P(A \mid B) = P(A)$ gives $P(A \cap B) = P(A)\,P(B)$; dividing by $P(A)$ gives $P(B \mid A) = P(B)$. True.