
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 ten people attending a basketball game, five of them are only 3/7 confident that they will stay for the entire game, while the other five are certain they will stay. What is the probability that at the end, at least 8 people stayed the entire time?

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