Christmas Contest - Guts Round - Set 2 Problem 3

If Munch has a fair die with numbers $1,2,3,5,8,13$ and Alex has a fair die with numbers $1,3,4,7,11,18$, the probability that the product of the numbers on Alex and Munch’s dice is even can be expressed as $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. Compute $m+n$.