3857. The assembler received 3 boxes of parts manufactu

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3857. The assembler received 3 boxes of parts manufactured by plant No. 1, and 2 boxes of parts manufactured by plant No. 2. The probability that part of plant No. 1 is standard is 0.8, and that of plant No. 2 is 0.9. The collector picked up the item at random from the box taken at random. Find the probability that the standard part is extracted.

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

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