SOLUTION: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly se

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Question 765505: In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and the rest an F. Students need a C or higher to pass. If three students are randomly selected , what is the probability that at least one fails?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a class of 469 students, 65 earned an A, 113 earned a B, 184 earned a C, 60 earned a D, and 47 had an F.
Students need a C or higher to pass.
If three students are randomly selected , what is the probability that at least one fails?
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Binomial Problem with n = 3 and P(pass) = (65+113+184)/469 = 0.772
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P(at least one of 3 fails) = 1 - P(all 3 pass) = 1-(0.772)^3 = 0.5402
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Cheers,
Stan H.
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