
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 services four identical machines. The probability that any machine will require the worker's attention within an hour is 0.6. Assuming that the malfunctions of the machines are independent, find the probability that within an hour the worker will:

a) need to attend to all four machines;

b) not need to attend to any machine;

c) need to attend to at least one machine.

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