
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 Boston weatherman has revised his forecast and now predicts a 60 percent chance of rain for each day of the Memorial Day five-day holiday. Assuming any non-rainy day to be sunny, Paul and Yuri want exactly two sunny days out of the five for their outdoor activities. What is the probability that they will have exactly two sunny days? Give your answer as a fraction.

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