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5 May, 16:59

If 6 components are drawn at random from the container, the probability that at least 4 are not defective is. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is

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  1. 5 May, 20:23
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    There is some inforrmation that is missing in this question. It should read:

    A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is.

    Answers

    Part 1. 0.02

    Part 2. 0.0375

    Explanation

    The probability is a chance of an event happening. It is calculated as;

    probability = (Number of favourable outcome) / (Number of available outcome)

    Part 1

    6 are chosen at random. If 4 are not defective, then 2 are defective.

    P (at least 4 are not defective) = 4/40 * 2/10

    = 1/10 * 1/5

    = 1/50

    = 0.02

    Part 2

    8 are chosen at random. If 3 are defective, the 5 are not defective.

    P (3 are defective) = 3/40 * 5/10

    = 15/400

    = 3/80

    = 0.0375
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