A nationwide CareerBuilder survey was conducted regarding the job hunting experi

Question

A nationwide CareerBuilder survey was conducted regarding the job hunting experience. From the survey, it was learned that 26% of workers have had a bad experience as a job applicant. Eighty-two percent of workers expect to hear back from a company when they apply for a job. Suppose that 90% of workers who have had a bad experience as a job applicant expect to hear back from a company when they apply for a job. Based on these results, if a worker hunting for a job is randomly selected,
What is the probability that the worker does not expect to hear back from a company when they apply for a job and has not had a bad experience as a job applicant?

Explanation / Answer

P(bad experience) =0.26

P(expect to hear back) =0.82

P(bad experience and expect to hear back) =P((bad experience)*P(expect to hear back|bad experience)

=0.26*0.90 =0.234

probability that the worker does not expect to hear back from a company when they apply for a job and has not had a bad experience as a job applicant

P(not bad experience and not expect to hear ) =1-P(bad experience or expect to hear)

=1-(0.26+0.82-0.234) =0.154

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