Further genealogical research by the University of Leicester has uncovered and tested Patrice de Warren, descended in the male line from Geoffrey of Anjou, the husband of Matilda, the ancestor of all Plantagenets:
His Y-chromosome neither matches that of Richard III nor that of the Somersets, one of whom differs from his cousins. There are 22 links from Geoffrey to Patrice. There are nine links from Geoffrey to Richard (four down from Edward III) and 23-25 to the Somerset (18-20 down from Edward III). Remembering that all links are equally likely to be broken, we can take the empirical probability as follows:
The Somersets are not descended from Edward III = 19/23
Richard III was not descended from Edward III (in that way) =4/23
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