Final answer:
The man has polydactyly (Dd genotype), and the woman has a normal phenotype (dd genotype). There is a 50% chance of their child having polydactyly.
Step-by-step explanation:
In this scenario, the man has polydactyly, which is a dominant trait, and the woman has a normal phenotype. Since the man has polydactyly, his genotype must be Dd (D = polydactyl allele; d = wild type allele), as the polydactyl allele is dominant. The woman, on the other hand, has a normal phenotype, so her genotype must be dd.
When a person with genotype Dd (heterozygous) mates with a person with genotype dd (homozygous recessive), there is a 50% chance that their child will inherit the polydactyl allele. Therefore, the possible genotypes of the offspring are Dd and dd. The possible phenotypes are polydactyly and normal digits. So, the correct answer is option D - woman dd, man Dd.