
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
If a research study group in a school consists of 6 people, planning to visit a science exhibition simultaneously, and the exhibition has three halls: Hall A, Hall B, and Hall C, each of the 6 people randomly determines their visiting order, spending one hour in each hall before moving to another, and regrouping to return after visiting all halls, calculate P(B|A).

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