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? 
Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability->Questions Involving Probability->Basic Concepts of Probability
$\dfrac{\_5C\_2 \times~~\_2C\_1}{\_{10}C\_3}=\dfrac{10\times2}{120}=\dfrac{2}{12}=\dfrac{1}{6}$. 