AMC 8 2016 Problem 21

A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn? $\textbf{(A) }\dfrac{3}{10} \textbf{(B) }\dfrac{2}{5} \textbf{(C) }\dfrac{1}{2} \textbf{(D) }\dfrac{3}{5} \textbf{(E) }\dfrac{7}{10}$