Theo is a horse breeder whose prize stallion Ivan The Terrible was mated to two

Question

Theo is a horse breeder whose prize stallion Ivan The Terrible was mated to two mares (Betty Boots and Lainey Loo) on a horse farm. After a few years the farm owner contacts Theo about Ivan The Terrible's genotype, because the progeny of Ivan The Terrible accidentally got put together and mated! Southern Dancer, the offspring of Ivan The Terrible and Betty Boots mated with Chuck E, the offspring of Ivan The Terrible and Lainey Loo. The farm owner Trudy was quite desperate to know whether there was a chance the rare b allele in Ivan The Terrible could be carried by both Southern Dancer and Chuck E, and was the allele identical by descent to Ivan The Terrible's b allele. Theo determined the coefficient of inbreeding to let Trudy know whether the progeny of Southern Dancer and Chuck E, a young filly named Alacrity, would have a risk of being homozygous recessive for this allele. What was the coefficient of inbreeding Theo shared with Trudy?

1

1/16

1/8

1/4

1/2

1

1/16

1/8

1/4

1/2

Explanation / Answer

The coefficient of inbreeding is

b. 1/16.

Because the chance of generating homozygous recessive is ¼ in next progeny . Here there are two progenies are there so the change is 1/16.

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