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 the age of 30 and 15 are under the age of 30. Seventeen of the applicants hold bachelor's degree and eight has masters degree. Of those under 30 years of age, six have masters degrees.

If a selection from among these 25 applicants is made at random, what is the probability that a person over age of 30 or a person with a masters degree will be selected?

Answer 1

Total number of applicants

number of applicants over 30

number of applicants under 30

no. of bachelor's degree holders

no. of masters degree holder

no. of masters degree holders in under 30

	Ages	Total
Degree	Above 30	Under 30
B's	8	9	17
M's	2	6	8
Total	10	15	25

now a selection from the 25 applicants is made at random,

the probability that a person over 30 or a person with a masters degree will be selected

= P(over 30) + P(master's degree) - P(over 30 and master's degree)

=

= 0.64

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