
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 batch of products (where both the number of genuine and defective products are more than 2), two items are randomly selected to observe the number of genuine and defective products. Then, among the following statements: ① Having at least one defective product and having all defective products are mutually exclusive events; ② Having exactly one defective product and having exactly two defective products are mutually exclusive events; ③ Having at least one genuine product and having at least one defective product are mutually exclusive events but not complementary events; ④ Having at least one defective product and having all genuine products are mutually exclusive and complementary events. Among these, the correct statements are (write down the numbers of all correct statements).

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