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A high school guidance counselor conducts a survey to find the student's first choice for a college major and found that 65% of students choose math. If three students are chosen at a random, what is the probability that at least one of them would choose math?

  • math -

    prob(choose math) = .65
    prob(not to choose math) = .35

    prob(at least 1 of 3 choosing math)
    = 1 - prob(nobody choosing math)
    = 1 - C(3,0) (.35)^3
    = 1 - .042875
    = appr .957

    or

    prob(1 choosing math) + prob(2 choosing math) + prob(3 choosing math)
    = .957

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