Calculus and Above

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Each question has 4 choices...

A pop quiz is given. There are 8 multiple choice questions. Each question has 4 choices only one of which is correct. You guess that answer for each question. Find the probability that you guess exactly 5 questions correctly, find the probability that you guess at most 5 questions correctly, find the probability that you guess at least 5 questions correctly, find the probability that you guess less than 5 questions correctly. There are four answers to this question which I need to submit.

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