
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 meteorological statistics, the probability of northeast winds blowing in the middle and lower reaches of the Yangtze River during the plum rain season is $0.7$, the probability of rain is $0.8$, and the probability of both northeast winds blowing and rain is $0.65$. Then, the probability of rain in that area on a day when northeast winds are blowing is ______.

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