Bruno Mars is packing $3$ shirts for a trip. He just randomly grabs $3$ shirts from his closet without observing them. The closet contains $10$ shirts: $5$ striped, $3$ plaid, and $2$ solid-colored ones. What is the probability that he chooses $2$ striped shirts and $1$ solid-colored shirt? 
选项为:A:$\frac12$  B:$\frac13$  C:$\frac1{12}$  D:$\dfrac{1}{6}$  请回答其中一个选项.