
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 the city where the Absent-Minded Scientist lives, phone numbers consist of 7 digits. The Scientist easily remembers a phone number if it is a palindrome, meaning it reads the same forwards and backwards. For example, the number 4435344 is easy for the Scientist to remember because it is a palindrome. However, the number 3723627 is not a palindrome, making it difficult for the Scientist to remember. Find the probability that the phone number of a new random acquaintance is easy for the Scientist to remember.

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