
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 seven basketball games. Each team has an equal chance of winning each game. Calculate the probability that the Eagles win at least four games out of the seven. Express your answer as a common fraction.

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