
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 local meteorologist predicts a 70% chance of rain each day for an upcoming five-day holiday stretch (Memorial Day Weekend). On days it doesn't rain, it'll be sunny. Dan and Alex hope for exactly two sunny days during these five days for their outdoor activities. What is the probability of Dan and Alex getting their desired weather outcome?

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