
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
In a particular state, license plates are formatted with a sequence of four letters followed by a sequence of four digits. The sequences are created such that each four-letter four-digit arrangement is equally likely. What is the probability that such a license plate contains at least one palindrome (either a four-letter arrangement or a four-digit arrangement, where a palindrome reads the same left-to-right as right-to-left)? Provide your answer as a fraction reduced to lowest terms.

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