
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
In the production of a certain machine part, Machine A has a defect rate of 0.05, while Machine B has a defect rate of 0.1. The production processes of these machines are independent. If one part is randomly selected from the products made by each machine, find:
(1) The probability that there is at least one defective part among the two parts.
(2) The probability that there is at most one defective part among the two parts.

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