
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
Consider a 6-digit palindrome $m$ formed as $\overline{abccba}$ and chosen uniformly at random. Every digit ($a$, $b$, $c$) can be any digit from 0 to 9, except $a$, which cannot be 0 because $m$ is a 6-digit number. What is the probability that both $m$ and $m+11$ are palindromes?
A) $\frac{800}{900}$
B) $\frac{9}{10}$
C) $\frac{7}{9}$
D) $\frac{8}{9}$
E) $\frac{9}{9}$

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