Answer
$\frac{1}{3}$
Work Step by Step
Step 1. The probability of rolling an even number $(2,4,6)$ the first time is $p_1=\frac{3}{6}=\frac{1}{2}$
Step 2. The probability of rolling a number greater than $2$ $(3,4,5,6)$ the second time is $p_2=\frac{4}{6}=\frac{2}{3}$
Step 3. The two events are independent and the probability of rolling an even number the first time and a number greater than 2 the second time is $p=p_1\times p_2=\frac{1}{3}$
