
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 class has 6 student leaders, including 4 boys and 2 girls. Three students are randomly chosen to participate in the school's volunteer work. Let event A be "Boy A is selected," and event B be "Girl B is selected." Then the probability of event B given A is $P(B|A) =$ _______.

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