SOLUTION: A quiz has five multiple-choice questions, each with 4 possible answers. If the quiz is solved by guessing, find the probability that at least one answer is correct

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Question 419238: A quiz has five multiple-choice questions, each with 4 possible answers. If the quiz is solved by guessing, find the probability that at least one answer is correct
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
A quiz has five multiple-choice questions, each with 4 possible answers.
P(guessing answer correctly) = .25
P(guessing incorrectly) = .75
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure
respectively. In this case p=.25and q =.75
nCx =
P(atleast one correct of the 5 questions) = 1 - P(none correct) = 1 - (.75)^5
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