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A person is taking a 5-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.
The probability that the person gets fewer than 3 correct
answers is.
(Round to three decimal places as needed.)