# probability – Expected value of area of a triangle

Two (possibly equal) integers $$x$$ and $$y$$ are chosen such that $$1 le x le 5$$ and $$1 le y le 5$$. What is the expected value of the area of the triangle with vertices $$(0, 0)$$, $$(x, 0)$$, and $$(0, y)$$?

I ended up getting$${1over2}left({{1+5}over2}right)left({{1+5}over2}right)= {9over2}$$Is this correct?