
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A palindrome is a nonnegative integer number that reads the same forwards and backwards. A 7-digit palindrome \(n\) is chosen uniformly at random. What is the probability that \(\frac{n}{7}\) is also a palindrome?
**A) \(\frac{1}{50}\)**  
**B) \(\frac{1}{25}\)**  
**C) \(\frac{1}{10}\)**  
**D) \(\frac{1}{100}\)**  
**E) \(\frac{2}{25}\)**

Present the answer in LaTex format: \boxed{Your answer}
user