
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
Nine people are planning to attend a concert. Out of these, five are only 3/7 sure that they will stay for the entire concert, while the others are certain they will stay for the whole time. What is the probability that at the end, at least eight people stayed for the entire time?

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