Question

There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 7 chocolate chip and 11 sugar cookies. The green jar contains 13 chocolate chip, 9 sugar and 5 peanut butter cookies. The pink jar contains 12 chocolate chip, 8 sugar and 6 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) 0.2457

b) 0.1026

c) 0.1651

d) 0.0769

e) 0.3077

f) None of the above.

Answer 1