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S Student likes sports Note The numbers in the Venn Diagram represent the proportion of students with certain characteristics a b P MUS d M

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S Student likes sports Note The numbers in the Venn Diagram represent the proportion of students with certain characteristics a b P MUS d M SIC 0 140 P MIS A student is selected at random Determine the following probabilities Your answers should be correct to three places after the decimal point P M 0 570 S 0 200 0 090 c The probability that the student likes both music and sports e The probability that the student likes neither music nor sports

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