
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
Given a regular decagon, a triangle is formed by connecting three randomly chosen vertices of the decagon. Calculate the probability that at least two sides of the triangle are also sides of the decagon.

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