There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 11 chocolate chip and 12 sugar cookies. The green jar contains 13 chocolate chip, 5 sugar and 14 peanut butter cookies. The pink jar contains 6 chocolate chip, 15 sugar and 8 peanut butter cookies. One of the three cookie jars is chosen 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 chosen at random from the chosen jar. What is the probability that the pink jar was chosen, 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
f) None of the above.