In a large class of students 40 of the students get above th

In a large class of students, 40% of the students get above the median on both of two midterms. (Assume that everyone takes both tests, and that no one gets exactly the median.) I choose a student at random out of this class. Given that she got above the median on the first midterm, what is the chance that she got above the median on the second midterm?

Solution

40% are above median

Let A - the student gets above median in the first midterm

B - the student gets above median in second mid term

Here both are indepedentn

Hence P(B/A) = P(B) = 0.4