At a college, 70% of the students came from public high school and of them, 15% are on the Dean's List. 20% of the students came from a private school and of them 18% are on the Dean's List. The remainder were home-schooled and of them, 20% are on the Dean's List. A student is chosen at random. Given the student is not on the Dean's List, what is the probability the student came from a 3. private school?

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