
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
According to historical meteorological data, in Yidu, the probability of an east wind blowing is $\dfrac{9}{30}$, the probability of rain is $\dfrac{11}{30}$, and the probability of both an east wind blowing and raining is $\dfrac{8}{30}$. Calculate the probability of it raining given that an east wind is blowing.

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