Given that a particular positive integer is a four-digit palindrome, what is the probability that it is a multiple of $99?$ Express your answer as a common fraction.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that a particular positive integer is a four-digit palindrome, what is the probability that it is a multiple of $99?$ Express your answer as a common fraction.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac19
Given that a particular positive integer is a four-digit palindrome, what is the probability that it is a multiple of $99?$ Express your answer as a common fraction.
train