
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
Two people each enter an elevator at the ground floor of a 10-story building. Assuming it is equally likely for either person to exit the elevator at any floor from the second floor up, what is the probability that the two people will exit on different floors?

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