
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
Mary and James each sit in a row of 10 chairs. They choose their seats at random. Two of the chairs (chair number 4 and chair number 7) are broken and cannot be chosen. What is the probability that they do not sit next to each other?

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