X and Y two independent random variables with distribution U(0, 1/2). Find the density of (X + Y)2|X - Y > 0
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.