
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 box contains 4 products, of which 3 are first-class and 1 is second-class. When taking products for two times, each time one product is randomly selected without replacement. Let event A be "A first-class product is taken on the first draw", and event B be "A first-class product is taken on the second draw". Calculate the conditional probability $P(B|A)$.

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