Final answer:
There are three alleles for duck color patterns with D(H) and D(R) being codominant and d being recessive. Considering the genetic interactions, five different phenotypes are possible with a blend of traits appearing in the D(H)D(R) codominant combination.
Step-by-step explanation:
In a species of ducks with a single pair of genes determining color pattern, three alleles exist: D(H), D(R), and d. The D(H) and D(R) alleles are codominant, meaning that if a duck inherits one of each of these two alleles, the resulting phenotype will be a mixture or blending of both traits. The d allele is recessive, so it will only be expressed in the phenotype when the individual is homozygous recessive, meaning it has two copies of the d allele.
Considering these genetic interactions, we can determine the number of phenotypes possible. When we have codominance and a recessive allele, we can expect multiple phenotypes. Specifically, the potential combinations of alleles are D(H)D(H), D(H)D(R), D(H)d, D(R)D(R), D(R)d, and dd. Each pair results in a distinct phenotype, except for the D(H)D(R) combination, which will have a unique blend of the D(H) and D(R) characteristics due to codominance. Hence, a total of five different phenotypes are possible in this group of ducks.