
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 license plate pattern with a sequence of four letters followed by four digits. Every four-letter four-digit arrangement is assumed equally likely. What is the probability that such a license plate will contain at least one palindrome, either in the four-letter or four-digit arrangement? Find the sum of the numerator and the denominator when this probability is expressed as a reduced fraction.

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