Of the

Question

53
students in a class,

33
are taking the class because it is a major requirement, and the other

20
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? What is the probability that the first student is taking the class because it is a major requirement and the second student is taking the class as an elective?

Round your answers to four decimal places.