
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
Suppose machines A, B, and C each require attention independently within a certain hour. It is known that the probability of both machine A and B needing attention in this hour is 0.05, the probability of both machine A and C needing attention is 0.1, and the probability of both machine B and C needing attention is 0.125.
(Ⅰ) Find the individual probabilities of machine A, B, and C needing attention in this hour.
(Ⅱ) Calculate the probability that at least one machine needs attention during this hour.

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