
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 wear of a machine when producing certain parts is such that the production of each part reduces the probability of producing a top-grade part by 1%. What can be said based on Poisson's theorem with a probability of at least 0.8 about the number of top-grade parts in a batch of 100 parts produced on one machine, if the probability that the first one is top-grade is 0.9?

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