In a factory, only two machines, A and B, manufacture washers

In a factory, only two machines, A and B, manufacture washers. Neither machine is perfect: machine A produces defective washers 16 % of the time, while machine B produces defectives 15% of the time. Machine B is more efficient than machine A and accounts for 60% of the total output of washers. For purposes of quality control, a sample of washers is taken and examined for defectives. Compute the probability that a randomly chosen washer found to be defective was manufactured by machine B. Round your answer to two decimal places.