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In problem 1, we had equal quantities of the 4 nucleotides, so the random probability of identical nucleotides in two aligned sequences is 0.25 (i.e., p = 0.25). Consider a DNA database in which the ratio of A:C:G:T in the sequences is 0.35:0.15:0.15:0.35 (as would be the case for a genome sequence from an organism has a 30% G+C content), and searching this database with a query sequence with A:C:G:T equal to 0.15:0.35:0.35:0.15. If I take a random nucleotide from the database, and a random nucleotide from the query sequence, what is the probability that they are the same nucleotide? For full credit, you must describe your approach, or show enough work to make clear how you solved the problem.

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