2014 AMC 10B Problem 16

Four fair six-sided dice are rolled. What is the probability that at least three of the four dice show the same value?

\textbf {(A) } \frac{1}{36} \qquad \textbf {(B) } \frac{7}{72} \qquad \textbf {(C) } \frac{1}{9}\qquad \textbf {(D) } \frac{5}{36} \qquad \textbf {(E) } \frac{1}{6}

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