
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 certain beverage comes in boxes of 6 cans, among which 4 cans (labeled as 1, 2, 3, 4) are qualified, and 2 cans (labeled as a, b) are unqualified. The quality inspector randomly selects 2 cans for testing.  
(1) List all possible outcomes of the selection;  
(2) Calculate the probability of detecting unqualified products.

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