I am fascinated by goat genetics and have been breeding for polled because I find dehorning very unpleasant but it is a necessary evil if you are going to have a happy herd where the polled are not bullied by the horned goats. The following is copied from the AGS website but it explains the different ways to get polled goats. I do not have any Homozygous goats in my herd, therefore I do not believe that I would ever get a hermaphrodite or at least I havenít in 15 years of breeding polled/polled.
GENETICS FOR POLLED VS. HORNED
The dominant trait is for goats to be polled which is indicated here by the capital P for polled. Horns are the result of two recessive genes which are indicated here by the lower case p for horned. You would not be able to tell the difference in a polled animal that carries two dominant genes from one that carries one recessive gene for horned. This explains how it is possible to breed two polled animals and have some offspring have horns. This would indicate that both parents carry a recessive gene for horns.
PP: This animal is polled, and does not carry the gene for horns.
Pp: This animal would be polled, and carry a recessive gene for horns.
pp: This animal has horns. An animal must carry two genes for horns to have horns.
Here are the various breeding scenarios with the resulting offspring:
Horned (pp) X Horned (pp) = 100% horned (pp) offspring.
Polled (Pp) X Horned (pp) = 50% polled (Pp), 50% horned (pp) offspring.
Polled (Pp) X Polled (Pp) = 25% polled (PP), 50% polled (Pp), 25% horned (pp) offspring
Homozygous polled (PP) X Horned (pp) = All polled (Pp) offspring.
Homozygous polled (PP) X Homozygous Polled (PP) = All homozygous polled (PP) offspring.
Genetics for Blue Eyed Vs. Brown Eyed
Blue eyes is another dominant trait in goats that I have been breeding for. The following shows how different eye colors can produce blue eyed kids.
Bb = heterozygous blue eyed (carries the gene for brown eyes)
BB = homozygous blue eyed
bb = brown eyed
BB/BB = 100% homozygous blue eyed kids
BB/Bb = 50% homozygous and 50% heterozygous blue eyes
BB/bb = 0% homozygous and 100% heterozygous blue eyes
Bb/bb = 0% homozygous , 50% heterozygous, 50% brown eyes
Bb/Bb = 25% homozygous, 50 % heterozygous, 25% brown eyes
bb/bb =100% brown eyed
It is possible for 2 blue eyed parents to have a brown eyed kid. This means that both parents were Bb.