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This is a machine learning in genetics class. Can anyone help with haplotype frequencies with recombination?

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Assume that we have genotyped a mother, father and child trio, and that their geno-
typed are mother: 011, father: 102, and child: 002. Consider the following generative
model: When a parent transmits a haplotype to the child, there is probability r for a re-
combination between any two SNPs. Let p = (Pooo, Pool, Poll, Polo, P1oo, Piol, Pill, Pilo)
be the unknown haplotype frequencies for haplotypes of length 3. Write down the
likelihood function for this model as a function of r and p.

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