3786. In the box there are 15 parts manufactured in workshop No. 1, 5 parts manufactured in workshop No. 2, and 30 parts manufactured in workshop No. 3. The probability of rejection for parts of workshop No. 1 is 0.02, workshop No. 2 is 0.05, and workshop No. 3 is 0.01. A part has been removed from the box. Find the probability that it is benign.

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