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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