
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
An enterprise manufactures products of a certain type on three production lines. The first line produces 30% of the total volume of products, the second line produces 25%, and the third line produces the remaining products. Each line is characterized by the following percentages of non-defective products: 97%, 98%, and 96%, respectively. Determine the probability that a randomly selected product manufactured by the enterprise is defective.

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