Question

3. In a high school graduating class of 100 students, 58 studied mathematics, 51 studied physics, and 20 studied both mathematics and physics. (a) If one of these students is selected at random, find the probability that the student took mathematics or physics. (b) If one of these students is selected at random, find the probability that the student did not take either of these subjects. (c) If one of these students is selected at random, find the probability that the student took physics but not mathematics. (d) Are studying mathematics and physics mutually exclusive events? Why or why not? Hint: You may want to draw a Venn diagram.