
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
In a certain market, the products from Factory A account for $70\%$, while those from Factory B account for $30\%$. The qualification rate of Factory A's products is $90\%$, and the qualification rate of Factory B's products is $80\%$. What is the probability of buying a qualified light bulb from this market?

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