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. 2007 May;176(1):421–440. doi: 10.1534/genetics.106.063149

TABLE 1.

Probabilities for various identity-by-state modes, given modes of identity-by-descent

IBS mode Allelic state Identity-by-descent mode Sj
S1 S2 S3 S4 S5 S6 S7 S8 S9
Inline graphic AiAi, AiAi pi Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic AiAi, AjAj 0 pipj 0 pipj 0 Inline graphicpj 0 0 Inline graphic
Inline graphic AiAi, AiAj 0 0 pipj 2 Inline graphicpj 0 0 0 Inline graphicpj 2 Inline graphicpj
Inline graphic AiAi, AjAk 0 0 0 2pipjpk 0 0 0 0 2 Inline graphicpjpk
Inline graphic AiAj, AiAi 0 0 0 0 pipj 2 Inline graphic 0 Inline graphic 2 Inline graphic
Inline graphic AjAk, AiAi 0 0 0 0 0 2pipjpk 0 0 2 Inline graphic
Inline graphic AiAj, AiAj 0 0 0 0 0 0 2pipj pipj(pi + pj) 4 Inline graphic
Inline graphic AiAj, AiAk 0 0 0 0 0 0 0 pipjpk 4 Inline graphic
Inline graphic AiAj, AkAl 0 0 0 0 0 0 0 0 4pipjpkpl

Here, alleles with different subscripts are distinct, and pi is the frequency of allele Ai.