As items come to the end of a production line, an inspector chooses which items are to go through a complete inspection. Ten percent of all items produced are
defective. Sixty percent of all defective items go through a complete inspection, and 10 % of all good items go through a complete inspection. Given that an item is
completely inspected, what is the probability that it is defective? Round your answer to four decimal places if necessary. (Do not round intermediate values.)