
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
From a set of 12 identical products (among which 10 are genuine and 2 are defective), randomly select 3 products. Determine which of the following events are certain to occur: (1) all three are genuine; (2) at least one is defective; (3) all three are defective; (4) at least one is genuine. List all the event numbers that satisfy the requirement.

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