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Each of the questions in a certain multiple-choice test has four answers, exactly one of which...

Each of the questions in a certain multiple-choice test has four answers, exactly one of which is correct. The probability that a test taker knew the answer to a question they answered correctly is 12. What proportion of the questions test takers answer correctly? Assume that a test taker always answer correctly to a question they know, and randomly pick an answer to a question they do not know.

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