
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
Four people are sitting around a circular table, each with an identical coin in front of them. Everyone tosses their coin simultaneously. If the coin lands on the table with the head facing up, the person stands up; if the coin lands with the head facing down, the person remains seated. Determine the probability that no two adjacent people stand up.

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