
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
Given a set of three-digit numbers composed of "0" and "1", let $A$ represent the event that "the second digit is '0'", and let $B$ represent the event that "the first digit is '0'". Calculate the conditional probability $P(A|B)$.

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