
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
Two batches of products of the same specification, the first batch accounts for $30\%$, with a defect rate of $5\%$; the second batch accounts for $70\%$, with a defect rate of $4\%$. The two batches of products are mixed, and one piece is randomly selected from the mixed products. The probability of selecting a qualified product is ____.

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