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A certain product is classified into 8 grades according to industry production standards, with grade coefficients $\xi$ in order 1, 2, ..., 8. A coefficient $\xi \geq 5$ corresponds to standard A, and $\xi \geq 3$ to standard B, with higher coefficients indicating better product quality. It is known that a factory producing this product adheres to standard B, and all products meet the corresponding standards. A random sample of 30 products from the factory is chosen, with the following grade coefficients:

3 5 3 3 8 5 5 6 3 4  
6 3 4 7 5 3 4 8 5 3  
8 3 4 3 4 4 7 5 6 7

As per industry regulations, products with $\xi \geq 7$ are premium grade, those with $5 \leq \xi < 7$ are second grade, and those with $3 \leq \xi < 5$ are third grade.

(1) Estimate the factory's production rates for premium, second, and third-grade products.
(2) If two products are randomly selected from the premium grade sample, find the probability that both products have a grade coefficient of 8.

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