
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
An octahedron consists of two square-based pyramids glued together along their square bases, forming a polyhedron with eight faces. Suppose an ant starts walking from the bottom vertex and randomly picks one of the four adjacent vertices (middle ring) and calls it vertex A. From vertex A, the ant then randomly selects one of its four adjacent vertices and calls it vertex B. What is the probability that vertex B is the top vertex of the octahedron? Express your answer as a common fraction.

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