
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 probability that a lamp will remain functional after 1000 hours of operation is 0.2. What is the probability that out of five lamps, at least three will remain functional after 1000 hours of operation?

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