Use Bayes' 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 0.15, of box B being selected is 0.25, and of box C being selected is 0.6. 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. 0.045
B. 0.15
C. 0.03
D. 0.133
Answer: A
Mathematics
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Mathematics