
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
In a certain region, the meteorological station has determined that the probability of windy conditions is $\frac{2}{15}$, and the probability of both windy and rainy conditions occurring is $\frac{1}{10}$. Let A be the event of windy conditions, and B the event of rain. Find $P(B|A)$.

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