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A multichoice test in which each question has four choices, only one of which is correct. Assume that nine questions are answered by guessing randomly. What is the probability of getting exactly three correct answers.

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Solution. Let X be the number of questions which were answered correctly. Then we know that X follows a binomial distribution with n=9 and p=1/4 (Note: As there are four choices in each ...

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A probability problem is solved.