Kira was feeling particularly adventurous at the hair salon one day, and decided to dye her
hair. The stylist informed her that she had 17 colors to choose from, 6 of which were shades
of brown.
If Kira randomly selects 12 colors and tells the stylist to choose from those, what is the
probability that exactly 4 of the chosen hair dyes are shades of brown?
Write your answer as a decimal rounded to four decimal places.