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    Probability of applying for an assembly job

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    PROBLEM 4
    Out of 11 people applying for an assembly job, 3 cannot do the work. Suppose two persons will be hired.
    (a) How many distinct pairs are possible?
    (b) In how many of the pairs will 0 or 1 people not be able to do the work?
    (c) If two persons are chosen in a random manner, what is the probability that neither will be able to do the job?

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    Solution.
    <br>
    <br>(a) Since there are 11 people, there are C(11,2)=11*10/2!=55 distinct pairs are possible.
    <br>
    <br>(b) We count them separately.
    <br>
    <br> First, we ...

    Solution Summary

    PROBLEM 4
    Out of 11 people applying for an assembly job, 3 cannot do the work. Suppose two persons will be hired.
    (a) How many distinct pairs are possible?
    (b) In how many of the pairs will 0 or 1 people not be able to do the work?
    (c) If two persons are chosen in a random manner, what is the probability that neither will be able to do the job?

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