
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
There is a cup of 2 liters of water containing a single bacterium. If a small cup is used to take out 0.1 liters of water from this cup, what is the probability that the small cup of water contains this bacterium?

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