In a scenario involving co-dominance, both alleles in a heterozygous genotype contribute to the phenotype. Let's denote the orange fur color allele as "O" and the white fur color allele as "W".
The genotype for a roan cow (which shows both colors) would be "OW" (heterozygous), while similarly the genotype for a roan steer would also be "OW". Therefore, when a roan cow (OW) mates with a roan steer (OW), we can analyze the potential offspring using a Punnett square:
O W
----------------
O | OO | OW |
----------------
W | OW | WW |
----------------
From the Punnett square, the possible genotypes of the offspring are:
- OO (homozygous orange)
- OW (heterozygous roan)
- OW (heterozygous roan)
- WW (homozygous white)
This results in the following offspring ratio:
- 1 OO (Orange)
- 2 OW (Roan)
- 1 WW (White)
Thus, the phenotype ratio of the offspring will be:
- 1 Orange: 2 Roan: 1 White
Therefore, the expected phenotype ratio if a roan cow and a roan steer mate together is 1: Orange : 2: Orange and White : 1: White.