In the case of codominant inheritance, both alleles in the heterozygous genotype are fully expressed. If we have a homozygous white horse (C C) and a homozygous black horse (C C), it seems there was a typo in the alleles provided as they should be noted differently to reflect both colors.
To clarify:
- Let's denote the white coat color allele as \(W\) and the black coat color allele as \(B\).
- The homozygous white horse would be \(WW\).
- The homozygous black horse would be \(BB\).
When these two horses are bred, the genotype of their offspring would be \(WB\) (heterozygous). In a codominance situation, both traits would be expressed, resulting in a roan coat color (a mixture of the two colors).
So, if a homozygous white horse \(WW\) is mated with a homozygous black horse \(BB\), all offspring would be \(WB\) and expressed as roan.
Thus, the likelihood that their offspring will be roan with both colors represented in their hair is 100%.