please answer the following systematically, show the complete solution

I". If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that a] The dictionary is selected? is] 2 novels and 1 book of poems are selected? 8. In a college graduating class of 100 students, 54 studied mathematics, 69 studied history, and 35 studied both mathematics and history. If one of these students is select ed at random, find the probabilitythat a] The student takes mathematics or history In] The student does not take either of these subjects c] The student takes history but not mathematics