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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...

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?

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