SOLUTION: A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had answer choices – a,b,c,d,e – and only one correct answer.

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Question 527129: A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had answer choices – a,b,c,d,e – and only one correct answer. What is the probability that she answered neither of the problems correctly?
Answer by stanbon(75887) About Me  (Show Source):
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A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had answer choices – a,b,c,d,e – and only one correct answer. What is the probability that she answered neither of the problems correctly?
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Binomial Problem with n = 2 and p(correct) = 1/5 ; p(wrong) = 4/5
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P(x = 2 wrong) = (4/5)^2 = 16/25
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Cheers,
Stan H.
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