SOLUTION: Suppose that each question of a three-question multiple choice quiz has 5 choices. If you randomly choose an answer to each of the questions, what is the probability that none of t

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Question 274424: Suppose that each question of a three-question multiple choice quiz has 5 choices. If you randomly choose an answer to each of the questions, what is the probability that none of the answers are correct?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that each question of a three-question multiple choice quiz has 5 choices. If you randomly choose an answer to each of the questions, what is the probability that none of the answers are correct?
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Binomial Problem with n = 3 ; p = 1/5
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P(none of 3 are correct) = (4/5)^3 = 64/125
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Cheers,
Stan H.