
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
In a group of 10 people who attend a theater show, 4 of them are only 1/3 confident that they will stay for the entire performance, while the rest are certain they will stay. What is the probability that, by the end of the show, at least 9 people stayed for the entire show?

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