Question 450070: Of 9 equal candidates for a job, 3 are qualified journalists, 4 are graduates and 2 have neither of these qualifications. Find
a. The probability that a graduate gets the job.
b. Given that a qualified journalist has got the job, find the probability that he is a graduate.
c. The probability that a qualified journalist gets the job, given that a graduate did not get the job.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Of 9 equal candidates for a job, 3 are qualified journalists, 4 are graduates and 2 have neither of these qualifications.
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Sketch a Venn Diagram:
If 2 are neither, 7 are either journalist,
or graduates or both.
If 3 are jounalists and 4 are graduates, you do not know
how many journalists are graduates and how many are not graduates.
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Find
a. The probability that a graduate gets the job.::4/9
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b. Given that a qualified journalist has got the job, find the probability that he is a graduate:: ???
c. The probability that a qualified journalist gets the job, given that a graduate did not get the job:: ???
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Cheers,
Stan H.
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