Of the 35 students in a class, 22 are taking the class because it is a major requirement, and the other 13 are taking it as an elective. If two students are selected at random from this class, what is the probability that the first student is taking the class as an elective and the second is taking it because it is a major requirement? How does this probability compare to the probability that the first student is taking the class because it is a major requirement and the second is taking it as an elective?