Solution of problem N3858 probability theory total prob

Solution of problem N3858 probability theory total prob

3858. The assembler received three boxes of parts manufactured by plant No. 1 and two boxes of parts manufactured by plant No. 2. The probability that a part of factory number 1 is standard is 0.82, and that of factory number 2 is 0.95. The collector picked up the item at random from the box taken at random. Find the probability that the part is non-standard.

Additional information:

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