SOLUTION: 1. Joe has been given a 10 multiple-choice question in his Geography class. Each question has 5 answers, of which only one is correct. Since Joe has not studied for the quiz, he p

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Joe has been given a 10 multiple-choice question in his Geography class. Each question has 5 answers, of which only one is correct. Since Joe has not studied for the quiz, he p      Log On


   



Question 722435: 1. Joe has been given a 10 multiple-choice question in his Geography class. Each question has 5 answers, of which only one is correct. Since Joe has not studied for the quiz, he plans in guessing all of the answers. What is the probability that he answers at least one question correctly?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. Joe has been given a 10 multiple-choice question in his Geography class. Each question has 5 answers, of which only one is correct. Since Joe has not studied for the quiz, he plans in guessing all of the answers. What is the probability that he answers at least one question correctly?
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Binomial Problem with n = 10 ; p(correct) = 1/5 ; p(wrong) = 4/5
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P(at least one correct) = 1 - P(none correct) = 1 - (4/5)^10 = 0.8926
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Cheers,
Stan H.
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