# Probability of applying for an assembly job

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?

https://brainmass.com/statistics/probability/probability-applying-assembly-job-12805

#### Solution Preview

Solution.

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<br>(a) Since there are 11 people, there are C(11,2)=11*10/2!=55 distinct pairs are possible.

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<br>(b) We count them separately.

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<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?