
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
Three distinct vertices of a tetrahedron are chosen at random. Find the probability that the plane determined by these three vertices does not pass through the interior of the tetrahedron.

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