Use Bayes's Rule to Find the Indicated Probability

Multiple Choice

Use Bayes's rule to find the indicated probability.
-A person must select one of three boxes, each filled with clocks. The probability of box A being selected is 0.33, of box B being selected is 0.17, and of box C being selected is 0.5. The probability of Finding a red clock in box A is 0.2, in box B is 0.4, and in box C is 0.9. A box is selected. Given that
The box contains a red clock, what is the probability that box A was chosen?

A) 0.066
B) 0.33
C) 0.133
D) 0.113