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Solution of problem N3861 probability theory total prob

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3861. The assembler received 6 boxes of parts manufactured by plant No. 1 and 4 boxes of parts manufactured by plant No. 2. The probability that a part of factory number 1 is standard is 0.8, and that of factory number 2 is 0.75. The collector picked up the item at random from the box taken at random. Find the probability that the defective part is extracted.
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)
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