
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 student leaders from among 6 (including 4 boys and 2 girls) to participate in the school's volunteer labor.
(1) Calculate the probability that either boy A or girl B is chosen;
(2) Define "boy A is chosen" as event A, "girl B is chosen" as event B, calculate P(B) and P(A|B).

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