
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 a factory that produces electronic components, out of 10 products, there are 8 first-grade products and 2 second-grade products. There is no difference in appearance between the first-grade and second-grade products. If 2 products are randomly inspected from these 10 products, calculate:  
(1) The probability that both products are first-grade;  
(2) The probability that at least one product is second-grade.

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