1. The problem statement, all variables and given/known data X and Y two independent random variables with distribution U(0, 1/2). Find the density of (X + Y)2|X - Y > 0 3. The attempt at a solution I was hoping this would be simpler, but somehow I always end up with nothing. The only thing I can work out just fine is that P(X - Y > 0) = 1/2. Then I tried to find the conditional probability with P((X + Y)2|X - Y > 0) = P((X + Y)2, X - Y > 0)/P(X - Y > 0), and then stop dead. Any guidance here? Because I have to do many of these problems.