
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
There is an urn containing 9 slips of paper numbered from 1 to 9. We draw one slip, record the number, and put it back in the urn. This process is repeated 8 more times, writing the drawn single-digit numbers side by side from left to right. What is the probability that in the resulting 9-digit number, at least one digit will appear in its own position? (Own position; counting from left to right, the $n$-th digit being in the $n$-th position).

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