Abstract
The paper presents, without mathematical formalities, two computational approaches to the analysis of pedigrees. One provides a method for inferring the ancestry of rare alleles observed in a population. The other provides the probabilities that specified combinations of founder genes survive to this current population. The emphasis in both approaches is upon the importance of joint probabilities. If some founder genes survive, others have smaller probability of doing so also. If an allele descends from a given founder to a current individual, it is likely to appear also in individuals sharing the same lines of descent.

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