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Mathematics, 30.03.2020 18:43 july00

A high school is offering 3 classes: math, physics, and chemistry. The classes are open to any of the 100 students in the school. There are 28 students in the math class, 26 in the physics class, and 16 in the chemistry class. There are 12 students who are in both math and physics, 4 who are in both math and chemistry, and 6 who are in both physics and chemistry. In addition, there are 2 students taking all 3 classes. If a student is chosen randomly, what is the probability that he or she is not in any of the classes?

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