Richard has been given a 9-question multiple-choice quiz in, Ask an Expert

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Richard has been given a 9-problem multiple-choice quiz in his history class. Each problem has three answers, of which only one is correct. Since Richard has not attended the class recently, he doesn't know any of the answers. Assuming that Richard guesses on all 9 problems, find the probability that he will answer all problems incorrectly? Round your answer to the nearest thousandth.

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