In a certain college 65% of the students are full-time students, 55% of the students are female,

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In a certain college 65% of the students are full-time students, 55% of the students are female, 35% of the students are male full-time students. Find the probability that

(a) a student chosen at random from all the students in the college is a part-time student,

(b) a student chosen at random from all the students in the college is female and a part-time student,

(c) a student chosen at random from all the female students in the college is a part-time student. (NEAB)

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