
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 supervises three machines. Within one hour, the probabilities that machine A, machine B, and machine C need supervision are $0.9$, $0.8$, and $0.85$, respectively. Within one hour, find:
(1) The probability that none of the machines need supervision;
(2) The probability that at least one machine needs supervision.

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