2016 AMC 8 Problem 13

Two different numbers are randomly selected from the set \{ - 2, -1, 0, 3, 4, 5\} and multiplied together. What is the probability that the product is 0?

\textbf{(A) }\dfrac{1}{6}\qquad\textbf{(B) }\dfrac{1}{5}\qquad\textbf{(C) }\dfrac{1}{4}\qquad\textbf{(D) }\dfrac{1}{3}\qquad \textbf{(E) }\dfrac{1}{2}

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