# Dividing a rod

A rod is marked at random in 4 points and divided at those points.

If the chance that none of the parts shall be greater than $$\frac{1}{4}$$ of the rod can be expressed as $$\frac ab$$ where $$a$$ and $$b$$ are coprime positive integers, then find the value of $$\frac{b}{4a}$$.

Bonus: Generalize this for $$n$$ points.

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