
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
Given that there may be defective items among 10 products, 2 items are randomly selected for inspection, and the number of defective items is represented by ξ. It is known that P(ξ=1)=16/45, and the defective rate of the product does not exceed 40%. Determine the defective rate of these 10 products.

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