AMC 8 2013 Problem 14

Abe holds 1 green and 1 red jelly bean in his hand. Bob holds 1 green, 1 yellow, and 2 red jelly beans in his hand. Each randomly picks a jelly bean to show the other. What is the probability that the colors match? $\textbf{(A)}\ \frac14 \textbf{(B)}\ \frac13 \textbf{(C)}\ \frac38 \textbf{(D)}\ \frac12 \textbf{(E)}\ \frac23$