Probability to answer all questions incorrectly

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Richard has just been given a 6-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has not attended class recently, he doesn't know any of the answers. Assuming that Richard guesses on all six questions, find the indicated probabilities

What is the probability that he will answer all questions correctly
What is the probability that he will answer all questions incorrectly?

Reference no: EM13128772

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