Question: please answer the following systematically, show the complete solution 13. In the senior year of a high school graduating class of 100 students, 42 studied

please answer the following systematically, show the complete solution

13. In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects, and 8 did not take any of the three. If a student is selected at random, find the probability that a) A person enrolled in psychology takes all three subjects b) A person not taking psychology is taking both history and mathematics 14. A pair of dice is thrown. If it is known that one die shows a 4, what is the probability that a) The other die shows a 5? b) The total of both dice is greater than 7

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