
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
A worker is monitoring three machine tools, and within one hour, the probabilities that each of the machine tools needs the worker's attention are 0.9, 0.8, and 0.6, respectively. Thus, the probability that none of the machine tools require the worker's attention within one hour is (　　)

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