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Given a random RNA secondary structure, S, we study RNA sequences having fixed ratios of nuclotides that are compatible with S. We perform this analysis for RNA secondary structures subject to various base pairing rules and minimum arc- and stack-length restrictions. Our main result reads as follows: in the simplex of the nucleotide ratios there exists a convex region in which, in the limit of long sequences, a random structure a.a.s. has compatible sequence with these ratios and outside ofarXiv:1603.03653v1 fatcat:rqkxkruicjefjpcxsflyg5cflu