Question: A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 55% of the questions, can

A student is taking a multiple-choice test in which each question

A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 55% of the questions, can narrow the choices down to two 15% of the time, and does not know anything about 30% of the questions. What is probability she will correctly answer a question chosen at random from the test? (4 decimals please)

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