To estimate some parameters of consensus shuffling and coincidence filtering, a simple mathematical model (Equations 1-6) was constructed. An input population of dsDNA molecules of length N, containing E errors/base is re-hybridized, fragmented into shorter dsDNA fragments of average length S, error filtered and reassembled. P(F) is the probability a fragment of length S will have a correct sequence. We determine the probability that re-hybridized duplexes will have zero (C), one (H ) or both (I ) strands with errors.