AMC 10 2017b Problem 9

A radio program has a quiz consisting of $3$ multiple-choice questions, each with $3$ choices. A contestant wins if he or she gets $2$ or more of the questions right. The contestant answers randomly to each question. What is the probability of winning? $\textbf{(A)}\ \frac{1}{27} \textbf{(B)}\ \frac{1}{9} \textbf{(C)}\ \frac{2}{9} \textbf{(D)}\ \frac{7}{27} \textbf{(E)}\ \frac{1}{2}$