Suppose that X,Y∼U(0,1)X,Y \sim \unif{0}{1}X,Y∼U(0,1) IID. Define U=min(X,Y)U = \min(X,Y)U=min(X,Y) and V=max(X,Y)V = \max(X,Y)V=max(X,Y). Evaluate Cov(U,V)\cov{U}{V}Cov(U,V).
