
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
At each vertex of a tetrahedron, there is an ant. At a given moment, each ant randomly chooses an edge and moves along it to the neighboring vertex. What is the probability that two ants will meet either midway on the edge or at the end of their journey?

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