
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 that the probability of strong winds in Wuyun Mountain Village in mid-May is 0.4, the probability of rain is 0.5, and the probability of both strong winds and rain is 0.3, calculate the probability of rain given strong winds.

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