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In the senior year of a high school graduating class of 600 students 180 studied mathematics, 200 studied chemistry, 240 studied history, 85 studied history but neither chemistry nor mathematics, 75 studied both mathematics and history, 35 studied chemistry but neither mathematics nor history, 50 studied all three subjects. If a student is selected at random, find the probability that a person takes all three subjects given that he or she enrolled in chemistry. that a person takes both history and chemistry given that he or she is not taking mathematics. that a person did not take any of the three subjects