Question

In: Statistics and Probability

In a survey of 145 students at GCSC it was found that 47 of them were...

In a survey of 145 students at GCSC it was found that 47 of them were enrolled in the course Mathematics for the Liberal Arts. If two students from this survey were randomly chosen without replacement, what is the probability at least one of them is enrolled in the courseMathematics for the Liberal Arts?

Round your answer to 4 decimal places.

(Hint: The complement of "at least one" is "none". Find the probability that neither of the two people chosen is enrolled in the course and then use the "complements principle" to find your answer.)

Solutions

Expert Solution

P(at least one of them is enrolled in the course) = 1 - P(none of them is enrolled in the course)

                                                                             = 1 - 98C2 / 145C2

                                                                             = 0.5447


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