Question

Out of 300 applicants for a job, 168 are female and 48 are female and have a graduate degree. If 95 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree? Express your answer as a fraction or a decimal rounded to four decimal places.

Answer 1

0.505

Explanation:

Data provided in the question:

Total number of applicants for a job = 300

Female applicants = 168

Female and have a graduate degree = 48

Number of applicants with graduate degree = 95

P(Female and have a graduate degree ) =
`\frac{\textup{48}}{\textup{300}}`

P( applicants with graduate degree) =
`\frac{\textup{95}}{\textup{300}}`

Now,

probability that a randomly chosen applicant is female, given that the applicant has a graduate degree

=
`((48)/(300))/((95)/(300))`

=
`\frac{\textup{48}}{\textup{95}}`

= 0.505