Answer to Question #177875 in Statistics and Probability for Hadiqa

Question

A certain county health department has received 25 applications for an opening that exists for a public health nurse. Of these applicants 10 are over 30 and 15 are under 30. Seventeen hold bachelor’s degrees only, and eight have master’s degrees. Of those under 30, six have master’s degrees. If a selection from among these 25 applicants is made at random, what is the probability that a person over 30 or a person with a master’s degree will be selected?

Answer 1

P(Over 30 or Master’s degree) = P(Over 30) + P(Master’s degree) –P(Over 30 and Master’s degree)

= (10/25) + (8/25)- (2/25)

= 16/25

or

=0.64