Answer:
Rooster's genotype is BB
hen's genotype is bb
Explanation:
Let the allele for black color be "B"
and the allele for white color be "b"
let us assume that B is dominant over b
Thus,
Genotype of black rooster mate can be either BB or Bb
Genotype of white hen would be "bb" as b is a recessive allele.
Now it is given that all the offspring produced are checkered
This can happen only when BB is crossed with Bb, so that all the offspring are checkered with genotype "Bb"
So ,
Rooster's genotype is BB
hen's genotype is bb