Aperson must select one of three boxes, each filled with clocks. the probability of box a being selected is 0.32, of box b being selected is 0.26, and of box c being selected is 0.42. 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?