
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
There are two batches of products. The defective rate of the first batch is $5\%$, and the defective rate of the second batch is $15\%$. The two batches of products are mixed in a ratio of $3:2$. If one product is randomly selected from the mixture, the probability that the product is qualified is ______.

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