Question

Out of 493 applicants for job, 217 have over five years of experience and 52 have over five years of experience and have a graduate degree.Consider that 73 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over five years of experience given that the applicant has a graduate degree? Enter a fraction or Round your answer to four decimal places if necessary

Answer 1

So we have the probability that a a person has five years of experience given that the applicant has a graduate degree to be P(F | G)

The probability that the person has over five years of experience and a graduate degree as P(F n G)

The probability that the person is a graduate or has graduate degree as P(G)

So we have

`\begin{gathered} P(F|G)=(P(F\cap G))/(P(G)) \\ =((52)/(493))/((73)/(493)) \\ =(52)/(493)*(493)/(73) \\ =(52)/(73) \\ =0.71232876 \end{gathered}`

Hence the answer to four decimal places is 0.7123