
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 factories, A and B, processing the same type of parts. The defect rate of factory A is $6\%$, and the defect rate of factory B is $5\%$. It is known that the number of parts processed by factories A and B accounts for $45\%$ and $55\%$ of the total market, respectively. Now, if you randomly buy a part of this type from the local market, the probability of buying a defective part processed by factory A is ______.

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