4) A person is taking a 12-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by rolling a fair die and marking the first answer choice if the die shows 1 or 2, the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the person gets fewer than 3 correct answers.

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