A base \(\displaystyle 10\) three digit numeral \(n\) is selected at random.What is the probability that both the base \(\displaystyle 9\) and base \(\displaystyle 11\) representation of \(n\) are both three digit numeral?

If the probability can be expressed in the form \(\dfrac{a}{b}\) where \(\gcd(a,b)=1\),then find \(a+b\).

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