# Problem: In cattle, the gene for hornless (H) is dominant to the gene for horned (h), the gene for black (B) is dominant to that of red (b), and the gene for white face (or Hereford spotting) (S) is dominant to that for solid color (s). A cow with the genotype BbHhSs is inseminated by a bull of the genotype bbhhSs. What is the probability of the calf's being:i) a black, hornless cow with Hereford spottingii a red, horned bull with solid coloriii) a red, hornless bull with Hereford spotting

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###### Problem Details

In cattle, the gene for hornless (H) is dominant to the gene for horned (h), the gene for black (B) is dominant to that of red (b), and the gene for white face (or Hereford spotting) (S) is dominant to that for solid color (s). A cow with the genotype BbHhSs is inseminated by a bull of the genotype bbhhSs. What is the probability of the calf's being:

i) a black, hornless cow with Hereford spotting

ii a red, horned bull with solid color

iii) a red, hornless bull with Hereford spotting