Proof Writing & Problem Solving · Easy problem

The statement "if $ab$ is odd, then $a$ and $b$ are both odd" is proved through its contrapositive, "if $a$ is even or $b$ is even, then $ab$ is even". For how many ordered pairs $(a, b)$ with $1 \le a \le 6$ and $1 \le b \le 6$ does the hypothesis of the contrapositive, "$a$ is even or $b$ is even", hold?