Anonymous 2 years ago a job applicant estimates that his chance of passing a qualifying examination is 3/4 , and his chance of being appointed if he does pass is 3/8 . what is the probability that he will receive the job? 1/2 9/32 3/8

The following are the given probabilities:

the applicant's chance of passing = P (pass the exam) = 3/4
the applicant's chance of being appointed with pass = P (being appointed | passed exam)

Solution:
We are looking for the probability of a job applicant receiving the job = P (pass the exam) * P( being appointed | passed the exam)
= 3/4 * 3/8
= 9/32 or 0.2813

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