2016 AMC 10B Problem 12

Two different numbers are selected at random from ( 1, 2, 3, 4, 5) and multiplied together. What is the probability that the product is even?

\textbf{(A)}\ 0.2\qquad\textbf{(B)}\ 0.4\qquad\textbf{(C)}\ 0.5\qquad\textbf{(D)}\ 0.7\qquad\textbf{(E)}\ 0.8

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.