Ranson holds $3$ white and $9$ purple jelly beans in his hand. Nancy holds $2$ white, $5$ yellow, and $2$ purple jelly beans in her hand. Each randomly picks a jelly bean to show the other. What is the probability that the colors match? (adapted from $2013$ AMC $8$ Problem, Question \# $14$) 
选项为:A:$\dfrac{1}{6}$  B:$\dfrac{1}{3}$  C:$\dfrac{2}{9}$  D:$\dfrac{1}{2}$  E:$\dfrac{2}{3}$  请回答其中一个选项.