In a class of 55 students, 22 are Democrats, 19 are business majors, and 7 of th

Question

In a class of 55 students, 22 are Democrats, 19 are business majors, and 7 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a. Democrat who is not a business major. b. a student who is neither a Democrat nor a business major. a. P(a Democrat who is not a business major) = (Type an integer or a simplified fraction.) b. (student who is neither a Democrat who is not a business major) = (Type an integer or a simplified fraction.)

Explanation / Answer

a) number of people who are Democrat but not business major) =22-7=15

therefore P(Democrat who is not a business major )=15/55 =3/11

b) number of people neither Democrat nor business major =55-(22+19-7)=21

therefore P(Niether Democrat nor Business major) =21/55

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