Rolling a fair n-sided die gives us a random number uniformly distributed among 1,2,,n] (our usual die is n -6). suppose we independently roll a fair n-sided die twice and obtain numbers xi and x2 (a) calculate e(max(xi, x2)) and e(min(x, x2) b) show that your calculation in part (a) verifies that e(max(x1, x2))e(min(xi, ex) e(x2) (c) is the above equation simply a coincidence? can you give a simple and direct proof of it?