
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
Consider a hexagonal bipyramid, which is formed by two hexagonal pyramids glued together at their bases. An ant starts at the top vertex and randomly walks to one of the six adjacent vertices in the middle ring, naming it vertex A. From vertex A, the ant then proceeds to randomly walk to one of the six adjacent vertices, naming it vertex B. Calculate the probability that vertex B will be the bottom vertex of the hexagonal bipyramid. Express your answer as a common fraction.

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