4) A person is taking a 12-question multiple-choicetest for which each question has three answerchoices,...

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4) A person is taking a 12-question multiple-choicetest for which each question has three answerchoices, only one of which is correct. The persondecides on answers by rolling a fair die andmarking the first answer choice if the die shows 1 or2, the second if it shows 3 or 4, and the third if itshows 5 or 6. Find the probability that the persongets fewer than 3 correct answers.

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