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Probability of certain university majors

3. At a certain university, 30% of the students major in mathematics. Of the students majoring in mathematics, 60% are males. Of all the students at the university, 70% are males.

a. What is the probability that a student selected at random in the university is male and majors in mathematics?

b. What is the probability that a randomly selected student in the university is female or majors in mathematics or both?

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