Heterozygosity in inbreeding organisms can be restored by mutation. Suppose that mutations always create brand new alleles. Suppose that each parental allele has a probability 0.01 of mutating.
1. Suppose first that the parent has genotype AA. What is the probability that the allele that came from the pollen is type A? What is the probability that the allele that came from the ovule is type A?
2. The probability that both alleles in the offspring are type A is the product of the probability that the allele from the pollen is A and the probability that the allele from the ovule is A (we will derive this in Section 6.5). What is the probability that the offspring of a homozygous parent is homozygous? What is the probability that the offspring of a homozygous parent is heterozygous?
3. Suppose a plant is heterozygous with genotype Aa. What is the probability that the allele that came from the pollen is type A? What is the probability that the allele that came from the ovule is type A?
4. Find the probability that the offspring is AA. Find the probability that the offspring is aa. What is the probability that the offspring of a heterozygous parent is homozygous? What is the probability that the offspring of a heterozygous parent is heterozygous? How does this compare with the result in the absence of mutation?