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## Homework Statement

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.