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8 April, 14:32

A lot of 9 components contains 3 that are defective. Two components are drawn at random and tested. Let be the event that the first component drawn is defective, and let be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

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  1. 8 April, 15:25
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    Probabilty of first component drawn defective = 0.1161

    Probability of second component drawn defective = 0.1560

    Step-by-step explanation:

    Total component = 9

    Defective component = 3

    Non-defective component = 6

    Probability of defective = 3/9

    = 0.3333

    Probabilty of non defective = 1-0.3333

    = 0.6666

    Probabilty of first component drawn is defective

    = 9C1 (0.333) ¹ (0.6666) ^8

    = 9 (0.3333) (0.0387)

    = 0.1161

    Probabilty of second component is defective

    = 8C1 (0.3333) ¹ (0.6666) ^7

    = 8 (0.3333) (0.0585)

    = 0.1560
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