A company has two factories, A and B, that produce a certain product. Factory A produces 40% of the product, while factory B produces 60%. The defective rate of the product from factory A is 5%, while the defective rate of the product from factory B is 10%. A sample of 100 products is taken from the combined production of the two factories. What is the probability that the sample contains at most 8 defective products?

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