out of 250 students interviewed at a community college, 90 were taking mathematics but not computer science, 160 were taking mathematics, and 50 were taking neither mathematics nor computer science

out of 250 students interviewed at a community college, 90 were taking mathematics but not computer science, 160 were taking mathematics, and 50 were taking neither mathematics nor computer science. Find the probability that a student chosen at random was
a. taking just computer science
b. taking mathematics or computer science, but not both
c. taking computer science
d. not taking mathematics
e. taking mathematics, given that the student was taking computer science
f. taking computer science, given that the student was taking mathematics
g. taking mathematics, given that the student was taking computer science or mathematics
h. taking computer science, given that the student was not taking mathematics
i. not taking mathematics, given that the student was not taking computer science