
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 weather forecast predicts a 75 percent chance of rain for each day of a five-day holiday. On a non-rainy day, the weather will be sunny. Paul and Yuri prefer to have sunny weather on exactly one or exactly two days during this period. What is the probability they will experience the weather they desire? Report your answer as a fraction.

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