Answer:
DdRr
Step-by-step explanation:
The parents are heterozygous with the genotype DdRr.
Assuming the two genes are independently assorting. For standard, independently assorting genes, the phenotypic ratio for a dihybrid cross should be 9:3::3:1 with the domiant parental gene having the highest frequency, the recessive parental genes having the lowest frequency and the recombined genes having the intermediate frequencies.
DdRr x DdRr
Progeny
9 D_R_ normal size, brown coat
3 ddR_ dwarf, brown coat
3 D_rr normal size, white coat
1 ddrr dwarf, white coat.
The phenotypic frequency is 9:3:3:1.
Now let us look at phenotypic frequency of the outcome
18:6:6:2 is also equivalent to 9:3:3:1.
Hence, the parents are hetezygous with the genotype DdRr.