Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
Two people are carriers of the autosomal recessive allele for phenylketonuria. They plan to have children. Each child has a chance of of being affected, independently.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. Chance of an affected child . Four children.
Plan. Use the product rule. Count the ways for exactly one.
Step 1. (a) .
Step 2. (b) The affected child can be any one of the . For one choice the chance is . For four choices: .
Step 3. (c) At least one is the rest of the cases after none: .
Answer: ; ; .
Check. The chance of two or more affected is , which is a sensible remainder.
Watch out. The chance of stays the same for every child. It does not fall after a healthy child.
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In an autosomal recessive disorder, two carriers (Aa × Aa) have children in the ratio 1 AA : 2 Aa : 1 aa. The chance of an affected child is , of a carrier , and each child is an independent event. Thalassaemia is a problem of the amount of globin, and sickle-cell anaemia is a problem of one amino acid of the globin.
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