In cattle, hair color (black and white and gray) and pattern (spots ore dominant

Question

In cattle, hair color (black and white and gray) and pattern (spots ore dominant over unspotted), are carried on the X chromosome Additionally horn size is determined by an incompletely dominant autosomal trait with large, medium and small horns. Having horns (dominant) verses not have horns (recessive) is determined by another gene which is found on a different autosomal chromosome then horn size. If you cross a gray unspotted, medium horned, carrier of nonhorns with a Black spotted no horned bull who's parents both had large horns. What are the chances the would have a. A gray haired spotted large horned offspring? b. a black haired unspotted medium horned offspring?

Explanation / Answer

According to the given data, the genetic cross exhibit incomplete dominance (horn size) and dominant epistasis (spots and having horns verses not have horns). If we cross a gray unspotted, medium horned; carrier of non-horns with a Black spotted no horned bull, then we can get

50% of a gray haired spotted large horned off spring

50% of a black haired unspotted medium horned offspring

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