
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
Manufacture a part, where the quality rate of machine A is 0.90, and the quality rate of machine B is 0.80. Randomly select one product from each machine, find:  
(1) The probability that both parts are of good quality;  
(2) The probability that both parts are defective;  
(3) The probability that exactly one part is of good quality.

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