
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
Select any 3 students from a class of 6 class officers (including 4 boys and 2 girls) to participate in the school's voluntary labor.
(1) Let the number of girls among the selected 3 students be $X$, find the probability distribution of $X$;
(2) Calculate the probability that either boy A or girl B is selected;
(3) Assume "boy A is selected" is event A, "girl B is selected" is event B, find $P(B|A)$.

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