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Random guesses are made on a 6-question multiple choice test, with 4 choices for each question. Find the probability of getting exactly 2 correct answers.

Random guesses are made on a 6-question multiple choice test, with 4 choices for each question. Find the probability of getting exactly 2 correct answers.

Random guesses are made on a 20-question multiple choice test, with 5 choices for each question. Find the probability of getting 8 or less correct answers.

Random guesses are made on a 20-question multiple choice test, with 5 choices for each question. Find the probability of getting more than 3 correct answers.

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