There are three colored cookie jars. One jar is blue, another
green and the last one pink. The blue jar contains 12 chocolate
chip and 6 sugar cookies. The green jar contains 11 chocolate chip,
10 sugar and 5 peanut butter cookies. The pink jar contains 14
chocolate chip, 9 sugar and 15 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?

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