# Draw Me!

Geometry Level 3

A point $$\displaystyle (X,Y)$$ is randomly picked up inside a rectangle with vertices $$\displaystyle (0,0) (4,0) (4,1) (0,1)$$.

If the probability that$$\displaystyle X<Y$$ can be stated in the form of $$\dfrac {a}{b}$$ where $$a$$ and $$b$$ are coprime integers, then find the value of $$a+b$$.

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