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

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In a survey of 145 students at GCSC it was found that 47 of themwere enrolled in the course Mathematics for the LiberalArts. If two students from this survey were randomly chosenwithout replacement, what is the probability at least one of themis enrolled in the courseMathematics for the LiberalArts?
Round your answer to 4 decimal places.

(Hint: The complement of \"at least one\" is \"none\". Find theprobability that neither of the two people chosen is enrolled inthe course and then use the \"complements principle\" to find youranswer.)

Answer & Explanation Solved by verified expert

3.9 Ratings (581 Votes)

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

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1 - 98C2 / 145C2

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 0.5447

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