
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 records over many years, the proportion of rainy days in cities A and B are known: 20% for city A and 18% for city B, with rainy days occurring simultaneously in both cities accounting for 12%. The probability that it is raining in city A given that it is raining in city B is \_\_\_\_\_\_.

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