
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
Many states have updated their license plate sequence to include a pattern of four letters followed by four digits. Calculate the probability that such a license plate contains at least one palindrome (a four-letter or four-digit sequence that reads the same forwards and backwards). Express this probability as a fraction $\frac{p}{q}$, where $p$ and $q$ are relatively prime integers. Then, find $p+q$.

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