A box contains $5$ red balls, $3$ blue balls, and $2$ green balls. If $3$ balls are drawn at random without replacement, what is the probability that all three are of different colors?

• A. $\frac{1}{8}$
• B. $\frac{1}{4}$
• C. $\frac{1}{2}$
• D. $\frac{1}{16}$

Answer: (B)