A group of visitors consists of 15 students from the University of Oxford and 20 students from Leeds University. Among students from Oxford were 8 females and among the Leeds students were 5 females. A student was selected at random to give a vote of thanks at the of the visit.
(a) What is the probability that the student is a female?
(b)Suppose that the female student is selected, what is the probability that the student comes from Leeds?
(c) Suppose that the student is selected is a female. What is the probability that the student comes from the University of Oxford?