
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 selects 3 people from 6 class officers (including 4 male and 2 female officers) to participate in the school's mandatory labor.

(I) Calculate the probability that male officer A or female officer B is selected;

(II) Define "male officer A is selected" as event A, and "female officer B is selected" as event B. Calculate $P(B)$ and $P(B|A)$.

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