7. A multiple choice exam has 3 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one wrong choice is 0.25, otherwise all 3 choices seem equally plausible. If they know the answer, they will get the question right. If not, they must guess from the 2 or 3 choices. What is the probability that the student gets the correct answer?

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