There are 3 colored cookie jars. One jar is blue, another green and last one pink. The blue jar haves 11 chocolate chip and 12 sugar cookies. The green jar haves 13 chocolate chip, 5 sugar and 14 peanut butter cookies. The pink jar haves 6 chocolate chip, 15 sugar and 8 peanut butter cookies. One of the 3 cookie jars is selected at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1/2, 1/4, and 1/4 respectively. A cookie is then selected at random from the chosen jar. Determine the probability that the pink jar was selected, if it is known that the cookie was a sugar cookie?
a) 0.5172
b) 0.4328
c) 0.3013
d) 0.1293
e) 0.1724