
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 Eagles play the Hawks in a series of five soccer matches. Each team has an equal chance of winning each match. What is the probability that the Eagles will win at least three matches? Express your answer as a common fraction.

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