
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 the statistics of the meteorological department, the probability of rain in a coastal city in Zhejiang is 0.4, and the probability that the humidity exceeds 70% on rainy days is 0.6. Therefore, the probability that it rains and the humidity exceeds 70% in this city is ___.

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