A base-10 three-digit number $n$ is selected at random. What is the probability that the base-9 representation and the base-11 representation of $n$ are both three-digit numerals?
Question:
A base-10 three-digit number $n$ is selected at random. What is the probability that the base-9 representation and the base-11 representation of $n$ are both three-digit numerals?
Answer:
Let's think step by step.

user
\frac{152}{225}
A base-10 three-digit number $n$ is selected at random. What is the probability that the base-9 representation and the base-11 representation of $n$ are both three-digit numerals?
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