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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 FreshmenChoosingThis Major, % FemalesChoosingThis Major, % MalesChoosingThis Major, %Business 24 32 68Humanities 10 58 42Education 6 61 39Social science 9 53 47Natural sciences 6 54 46Other 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?
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