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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