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Table 3

Table 3: Expressions of the Match Probabilities P(M|K, H1) When One Unknown Contributor Is Related to a Typed Person T

Case T Match probability
1 ii k0Q(2x,U) + 2k1Q(2x − 1,U\{i})+k2Q(2x − 2,U\{i})
2 ij k0Q(2x,U) + k1{Q(2x − 1,U\{i}) + Q(2x − 1,U\{j})} + k2Q(2x − 2,U\{i,j})
3 ib1 k0Q(2x,U) + k1{Q(2x − 1,U) + Q(2x − 1,U\{i})} + k2Q(2x − 2,U\{i})
4 iz1 k0Q(2x,U) + k1Q(2x − 1,U\{i})
5 b1b2 k0Q(2x,U) + 2k1Q(2x − 1,U) + k2Q(2x − 2,U)
6 b1z1 k0Q(2x,U) + k1Q(2x − 1,U)
7 z1z2 k0Q(2x,U)
Note i ≠ j, i ∈ U, j ∈ U; b1, b2 ∈ M \ U; z1, z2 not includedM