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A growing number of RNA sequences are now known to have distributions of multiple stable sequences. Recent algorithms use the list of nucleotides in a sequence and auxiliary experimental data to predict such distributions. Although the algorithms are largely successful in identifying a distribution's constituent structures, it remains challenging to recover their relative weightings. In this paper, we quantify this issue using a total variation distance. Then, we prove under a Nussinov-JacobsonarXiv:1801.03055v2 fatcat:y3oh5f2fazalxjc5rghyvxd5ly