
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 five-digit palindrome between $10,000$ and $100,000$ is chosen at random. What is the probability that it is divisible by $11$?
**A)** $\frac{1}{10}$
**B)** $\frac{1}{9}$
**C)** $\frac{1}{7}$
**D)** $\frac{1}{6}$
**E)** $\frac{1}{5}$

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