3-37. Twenty percent of the students in the freshman class of a certain college have decided on...

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3-37. Twenty percent of the students in the freshman class of a certain college have decided on a major and 80% have not. Among those who have already chosen a major, 20% are planning to attend graduate school and only 2%

of those not having chosen a major are planning to go to graduate school. If a freshman student is chosen at random, what is the probability that he or she will be planning to attend graduate school? (As a solution aid, construct a Venn diagram for this problem.)

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