In a class of 30 students, 19 study Physics, 17 study Chemistry, and 15 study both of these subjects.
a. Display this information on a Venn diagram.
b. Hence determine the probability that a randomly selected student from this class studies: both subjects
c. Hence determine the probability that a randomly selected student from this class studies: at least one of the subjects
d. Hence determine the probability that a randomly selected student from this class studies: Physics but not Chemistry
e. Hence determine the probability that a randomly selected student from this class studies: exactly one of the subjects
f. Hence determine the probability that a randomly selected student from this class studies: neither subject.