3876. A batch of parts is made by three workers, with the first worker producing 25% of all parts, the second - 35%, the third - 40%. In the production of the first labor defect is 5%, in the production of the second 4% and in the production of the third 2%. The item randomly selected for control was defective. What is the probability that it is made by the second worker?

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)