The Office of Admissions and Records of a large western university released the accompanying information concerning the contemplated majors of its freshman class. (Round your answers to three decimal places.)
Major Freshmen
Choosing
This Major, % Females
Choosing
This Major, % Males
Choosing
This Major, %
Business 24 32 68
Humanities 10 58 42
Education 6 61 39
Social science 9 53 47
Natural sciences 6 54 46
Other 45 47 53
(a) What is the probability that a student selected at random from the freshman class is a female?
(b) What is the probability that a business student selected at random from the freshman class is a male?
(c) What is the probability that a female student selected at random from the freshman class is majoring in business?