Probability — independence from a contingency table

The joint probability of the occurrence of two events $A$ and $B$ is given by the following contingency table:

$$\begin{array}{c|cc} & B & \bar{B} \\\hline A & 0\cdot 4 & 0\cdot 1 \ \bar{A} & 0\cdot 2 & 0\cdot 3 \end{array}$$

Consider the following statements: I. $A$ and $B$ are independent events. II. $\mathbb{P}(A \mid \bar{B}) + \mathbb{P}(\bar{A} \mid B) > \frac{1}{2}$. Which of the statements given above is/are correct?