
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
The probability of an east wind blowing in a certain place in April is $\frac{3}{10}$, the probability of rain is $\frac{11}{30}$, and the probability of both an east wind blowing and rain is $\frac{4}{15}$. Calculate the probability of rain given that there is an east wind blowing on April 8th.

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