
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 consists of two identical pentagonal-based pyramids glued together along their pentagonal bases to form a polyhedron with twelve faces. An ant starts at the top vertex of the dodecahedron and walks to one of the five adjacent vertices, which it randomly selects and calls vertex A. From vertex A, the ant then walks to one of the five adjacent vertices it randomly selects and calls vertex B. What is the probability that vertex B will be 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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