
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 the historical meteorological statistics, the probability of a strong wind blowing on a day in mid-May in a certain place is 0.4, the probability of rain is 0.5, and the probability of both strong wind and rain is 0.3, determine the conditional probability of rain under the condition of strong wind.

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