
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
Within an hour, the probabilities that three machine tools require the worker's supervision are 0.9, 0.8, and 0.7, respectively. Calculate the probability that none of the machine tools require the worker's supervision.

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