Hemophilia A, a condition in which blood does not clot properly, is a recessive trait located on the X chromosome (Xʰ). Suppose that a woman who is heterozygous for this trait (XXʰ) has children with a normal male (XY). What is the probability that the couple will have daughters with hemophilia? What is the probability that the couple will have sons with hemophilia?
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Step 1: Understand the genetic inheritance pattern. Hemophilia A is an X-linked recessive trait, meaning it is carried on the X chromosome. Females have two X chromosomes (XX), while males have one X and one Y chromosome (XY). A recessive trait requires two copies of the gene in females (XʰXʰ) or one copy in males (XʰY) to express the condition.
Step 2: Determine the genotypes of the parents. The woman is heterozygous (XXʰ), meaning she has one normal X chromosome (X) and one X chromosome carrying the hemophilia gene (Xʰ). The man is normal (XY), meaning he has a normal X chromosome and a Y chromosome.
Step 3: Set up a Punnett square to predict the offspring's genotypes. Place the mother's two X chromosomes (X and Xʰ) on one axis and the father's X and Y chromosomes on the other axis. This will allow you to calculate the possible combinations of X and Y chromosomes in their children.
Step 4: Analyze the Punnett square results. For daughters, they inherit one X chromosome from each parent. The possible combinations are XX (normal) and XʰX (carrier, but not affected). For sons, they inherit the X chromosome from the mother and the Y chromosome from the father. The possible combinations are XY (normal) and XʰY (affected).
Step 5: Calculate the probabilities. For daughters, there is a 50% chance of being carriers (XʰX) and a 0% chance of having hemophilia (since they need two Xʰ chromosomes). For sons, there is a 50% chance of having hemophilia (XʰY) and a 50% chance of being normal (XY).
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
X-Linked Inheritance
X-linked inheritance refers to the pattern of inheritance for genes located on the X chromosome. In this case, hemophilia A is a recessive trait, meaning that females (XX) need two copies of the mutated gene to express the condition, while males (XY) need only one. This results in different probabilities of inheritance for sons and daughters based on the genetic makeup of the parents.
Genotype refers to the genetic constitution of an individual, while phenotype is the observable expression of that genotype. In this scenario, the mother is heterozygous (XXʰ), which means she carries one normal allele and one hemophilia allele. The phenotype of the offspring will depend on the combination of alleles inherited from both parents, influencing whether they express hemophilia.
A Punnett square is a diagram used to predict the genetic outcomes of a cross between two individuals. By mapping the possible gametes from each parent, it allows for the calculation of probabilities for different genotypes and phenotypes in the offspring. In this case, it can be used to determine the likelihood of daughters and sons inheriting hemophilia from the heterozygous mother and normal father.