# 800 follower problem

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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