
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 large square is divided evenly into $9$ smaller squares. A point is randomly thrown into the large square (assuming it always lands within the square). Let event $A$ be the point landing in the leftmost $3$ small squares, and event $B$ be the point landing in the top $3$ small squares or the middle small square. Calculate the conditional probability $P(A|B)$.

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