
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
If nine people decide to come to a baseball game, but five of them are only 1/3 sure that they will stay for the entire game (while the other four are sure they'll stay the whole time), what is the probability that at least seven people stayed for the entire game?

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