An experiment consists of choosing an urn with the following probabilities that urn 1, urn 2, or urn 3 will be chosen: 1/2, 1/4, and 1/4, respectively. urn 1 contains 15 brown marbles and 14 clear marbles. urn 2 contains 6 brown marbles, 11 clear marbles and 9 red marbles. urn 3 contains 7 brown marbles, 8 clear marbles and 5 red marbles.

a marble is then chosen from the chosen urn. what is the probability that urn 3 was chosen, given that the marble chosen was clear?

a) 0.1000

b) 0.4000

c) 0.1333

d) 0.3063

e) 0.2236