
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 the qualification rate of products from Factory A is $90\%$, and the qualification rate of products from Factory B is $80\%$, calculate the probability that both products are not qualified when one product from each factory is randomly purchased from the electronic products supplied in the market.

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