
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 that reads the same forwards and backwards when written in base 10 with no leading zeros. A 4-digit palindrome $n$ is chosen uniformly at random. What is the probability that $\frac{n}{7}$ is also a palindrome?
- **A)** $\frac{1}{10}$
- **B)** $\frac{1}{9}$
- **C)** $\frac{2}{9}$
- **D)** $\frac{1}{7}$
- **E)** $\frac{2}{7}$

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