
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
A dodecahedron is constructed by attaching two identical pentagonal pyramids at their pentagonal bases. An ant starts at the top vertex of the dodecahedron and randomly walks to one of the five adjacent vertices, which it calls vertex A. From vertex A, the ant randomly chooses one of the five adjacent vertices, which it calls vertex B. What is the probability that vertex B is the bottom vertex of the dodecahedron? Express your answer as a common fraction.

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