There are three colored cookie jars. one jar is blue, another green and the last one pink. the blue jar contains 10 chocolate chip and 7 sugar cookies. the green jar contains 8 chocolate chip, 14 sugar and 11 peanut butter cookies. the pink jar contains 6 chocolate chip, 5 sugar and 9 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?