
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 70 percent chance of rain for each day of a five-day holiday weekend. If it does not rain, then the weather will be sunny. Sarah and John prefer exactly two sunny days for their outdoor event. What is the probability that they will have exactly two sunny days during the holiday weekend?

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