AMC 12 2025b Problem 11

Nine athletes, no two of whom are the same height, try out for the basketball team. One at a time, they draw a wristband at random, without replacement, from a bag containing 3 blue bands, 3 red bands, and 3 green bands. They are divided into a blue group, a red group, and a green group. The tallest member of each group is named the group captain. What is the probability that the group captains are the three tallest athletes?

$\textbf{(A) } \dfrac{2}{9} \textbf{(B) } \dfrac{2}{7} \textbf{(C) } \dfrac{9}{28} \textbf{(D) } \dfrac{1}{3} \textbf{(E) } \dfrac{3}{8}$