5. A couple has 8 offspring. What is probability that half are girls? a. Both pa

Question

5. A couple has 8 offspring. What is probability that half are girls? a. Both parents are heterozygous for a recessive autosomal disease. What is the probability that half of their children will be affected? b. What is the probability that at least one will be affected? 5. A couple has 8 offspring. What is probability that half are girls? a. Both parents are heterozygous for a recessive autosomal disease. What is the probability that half of their children will be affected? b. What is the probability that at least one will be affected? 5. A couple has 8 offspring. What is probability that half are girls? a. Both parents are heterozygous for a recessive autosomal disease. What is the probability that half of their children will be affected? b. What is the probability that at least one will be affected?

Explanation / Answer

5. The is probability that half are girls is 1/2 x1/2 x1/2 x1/2 =1/16.

a). Both parents are heterozygous for a recessive autosomal disease.Let their genotypes be Aa and Aa.Then genotype of their children = 1/4 AA, 1/2 Aa and 1/4 aa.

As it is a recessive autosomal disease,therefore only aa genotype will be affected.

So, probability that half of their children will be affected is zero,because only 1/4th will be affected.

b). The probability that at least one will be affected will be 1/4th.

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