
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
The forecast predicts a 75 percent chance of rain for each of the five days of the extended Labor Day weekend. If it doesn't rain, then the weather will be sunny. Paul and Yuri desire exactly two sunny days during this period for a special event. Calculate the probability of getting precisely two sunny days out of the five. Provide your answer as a fraction.

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