In the programs of high schools, during the senior year 45% of students study subject A, 40% study subject B, and 50% study subject C. It is also known that 20% study both subjects A and C, 15% study both subjects B and C, 15% study subject B but neither subject A nor C. Only 6% of the students study all three subjects. (a) Please draw a Venn diagram reflecting this situation. (b) What percentage of the students study both subjects A and B but not C ? W hat percentage of the students study both subjects B and C but not A ? (c) What percentage of the students study exactly one of the three subjects ? What percentage of the students study none of the three subjects ? (d) If a student is randomly selected from those who do not study subject B, what is the probability that the student is taking both subjects A and C ? (e) If a student is randomly selected from those who study exactly two of the three subjects, what is the probability that the student is taking subject A ?