Question

3. (07.04)

A human resources department manager is tallying recent statistics regarding the relationship between an applicant being offered a job and the applicant having a job
Interview. Of 500 people applying for a job, 20 had an interview. Of those who had an Interview, 16 are offered a job. If an applicant was not interviewed, he or she did not
have an opportunity to get the job. Fill in the two-way frequency table below.
Job No Job Total
Interview 16 20
No Interviewo
Total 16
500
What is the probability (rounded to the nearest whole percent) that an applicant does not get a job if he or she has an interview? (4 points)

Answer 1

The probability that an applicant does not get a job if he or she has an interview is 20%.

Explanation:

• If the applicant has been interviewed, then she/he belongs to the group of 20 people that had an interview.
• 16 of the 20 people who were interviewed were offered a job, which means that 4 of the 20 people interviewed were not offered a job.
• Then, 4/20= 20% of the people who were intervied did not get a job, which means that the probability that an applicant does not get a job if he/she were interviewed is 20%.
• Pat attention: this probability results from analysing the probability of getting a job once you have had an interview (this condition restricts our attention to the group of 20 people who had an interview, and not to the hole group of 500 people who did apply for the job).