A series of matings shows that the recombination frequency between the black-body gene and the gene for dumpy (shortened) wings is 36%. The recombination frequency between purple eyes and dumpy wings is 41%. What is the sequence of these three genes on the chromosome?
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13. Mendelian Genetics
Sex-Linked Inheritance
Problem 11
Textbook Question
A couple are both phenotypically normal, but their son suffers from hemophilia, a sex-linked recessive disorder.
What fraction of their children are likely to suffer from hemophilia?
What fraction are likely to be carriers?

1
Step 1: Understand the inheritance pattern of hemophilia. Hemophilia is a sex-linked recessive disorder, meaning the gene responsible for the condition is located on the X chromosome. Males (XY) only have one X chromosome, so if they inherit the defective gene, they will express the disorder. Females (XX) need two copies of the defective gene to express the disorder; if they have one defective gene, they are carriers.
Step 2: Determine the genotypes of the parents. Since the couple is phenotypically normal, the mother must be a carrier (XHX) because their son has hemophilia. The father is normal (XHY) because males cannot be carriers of X-linked traits.
Step 3: Set up a Punnett square to predict the offspring's genotypes. Place the mother's alleles (XH and X) on one axis and the father's alleles (XH and Y) on the other axis. This will allow you to calculate the probabilities of different combinations of alleles in their children.
Step 4: Analyze the Punnett square results. The possible offspring genotypes are: XHXH (normal female), XHX (carrier female), XHY (normal male), and XY (male with hemophilia). Determine the fraction of children with each genotype.
Step 5: Interpret the results. Based on the Punnett square, calculate the fraction of children likely to suffer from hemophilia (XY) and the fraction likely to be carriers (XHX). Express these fractions as probabilities or percentages.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Sex-Linked Inheritance
Sex-linked inheritance refers to genes located on the sex chromosomes, particularly the X chromosome. In humans, males have one X and one Y chromosome, while females have two X chromosomes. Disorders like hemophilia are often recessive and linked to the X chromosome, meaning that males are more likely to express the disorder if they inherit the affected X, while females may be carriers if they have one affected X and one normal X.
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Sex-Linked Inheritance
Recessive Alleles
Recessive alleles are variants of a gene that do not manifest in the phenotype unless two copies are present. In the case of hemophilia, the allele responsible for the disorder is recessive, meaning that a male with one affected X chromosome will express hemophilia, while a female must have two affected X chromosomes to show symptoms. This concept is crucial for understanding how traits are passed on and expressed in offspring.
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Dominant vs. Recessive Alleles
Punnett Square
A Punnett square is a diagram used to predict the genetic outcomes of a cross between two parents. It helps visualize the possible combinations of alleles that offspring can inherit. By setting up a Punnett square for the couple in the question, we can determine the likelihood of their children being affected by hemophilia or being carriers, providing a clear method to analyze inheritance patterns.
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Punnett Squares
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