Find probabilities using combinations and permutations. Tyler was feeling particularly adventurous at the hair salon one day, an
d decided to dye his hair. The stylist informed him that he had 10 colors to choose from, 6 of which were shades of purple . If Tyler randomly selects 5 colors and tells the stylist to choose from those, what is the probability that exactly 2 of the chosen hair dyes are shades of purple? Write your answer as a decimal rounded to four decimal places.
