I'm looking for someone to walk me through how to solve E[ZW] if Z = max[X,Y] & W = min[X,Y]. X & Y are independent, uniform variables over the interval [0,1].
I solved E[Z] = 2/3 and E[W] = 1/3.
E[ZW] should equal 1/4 but I keep getting the wrong answer. I have searched the forums and used other people's answers to try and solve it but have gotten the incorrect numbers.
Thank you in advance!