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16 April, 19:34

A lot of 1000 components contains 300 that are defective. Two componentsare drawn at random and tested. Let A be the event that the first componentdrawn is defective, and let B be the event that the second component drawnis defective. Find P (B|A).

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  1. 16 April, 20:00
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    299/999

    Step-by-step explanation:

    Total component = 1000

    Number of defective components = 300

    Let A be the event that the first component drawn is defective

    Let B be the event that the second component drawn is defective

    P (B|A) = P (A and B) / P (A)

    P (A) = 300/1000 = 3/10

    P (A and B) = P (A) * P (B)

    P (B) = P (A and B) / P (A)

    P (B|A) = P (B)

    P (B) = 299/999

    P (B|A) = 299/999
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