In a family of five children what is the probability that… All are females
Table of contents
- 1. Introduction to Genetics51m
- 2. Mendel's Laws of Inheritance3h 37m
- 3. Extensions to Mendelian Inheritance2h 41m
- 4. Genetic Mapping and Linkage2h 28m
- 5. Genetics of Bacteria and Viruses1h 21m
- 6. Chromosomal Variation1h 48m
- 7. DNA and Chromosome Structure56m
- 8. DNA Replication1h 10m
- 9. Mitosis and Meiosis1h 34m
- 10. Transcription1h 0m
- 11. Translation58m
- 12. Gene Regulation in Prokaryotes1h 19m
- 13. Gene Regulation in Eukaryotes44m
- 14. Genetic Control of Development44m
- 15. Genomes and Genomics1h 50m
- 16. Transposable Elements47m
- 17. Mutation, Repair, and Recombination1h 6m
- 18. Molecular Genetic Tools19m
- 19. Cancer Genetics29m
- 20. Quantitative Genetics1h 26m
- 21. Population Genetics50m
- 22. Evolutionary Genetics29m
2. Mendel's Laws of Inheritance
Probability and Genetics
Problem A.5
Textbook Question
A woman, S.R., had a maternal grandfather with hemophilia A (OMIM 306700), an X-linked recessive condition that reduces blood clotting. S.R.'s maternal grandmother and paternal grandparents are free of the condition, as are her partner, his parents, and his grandparents. S.R. has no siblings. She wants to know the chance that a son of hers will have the condition. What is that probability?

1
Identify the inheritance pattern: Hemophilia A is an X-linked recessive disorder, meaning the gene causing the condition is located on the X chromosome, and males (XY) are affected if they inherit the affected X chromosome, while females (XX) are typically carriers if they have one affected X chromosome.
Determine the genotype of S.R.'s maternal grandfather: Since he had hemophilia A, he must have had the affected X chromosome (Xᴴ) and a Y chromosome (XᴴY), where Xᴴ represents the affected X chromosome.
Analyze S.R.'s mother’s genotype: Because S.R.'s maternal grandfather was affected and the maternal grandmother was unaffected, S.R.'s mother must be a carrier (XᴴX) — she inherited the affected X chromosome from her father and a normal X chromosome from her mother.
Calculate the probability that S.R. inherited the affected X chromosome from her mother: Since S.R.'s mother is a carrier (XᴴX), there is a 50% chance that S.R. inherited the affected X chromosome (Xᴴ) and a 50% chance she inherited the normal X chromosome (X).
Determine the probability that S.R.'s son will have hemophilia A: If S.R. is a carrier (XᴴX), each son has a 50% chance of inheriting the affected X chromosome (Xᴴ) and thus having hemophilia A. Multiply this by the probability that S.R. is a carrier (from step 4) to find the overall chance that her son will have the condition.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
X-linked Recessive Inheritance
X-linked recessive disorders are caused by mutations on the X chromosome. Males, having one X chromosome, are affected if they inherit the mutated gene, while females, with two X chromosomes, are typically carriers unless both X chromosomes carry the mutation. This pattern explains why males are more frequently affected.
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X-Inactivation
Carrier Status and Transmission Risk
A female carrier of an X-linked recessive mutation has a 50% chance of passing the mutated gene to her children. Sons who inherit the mutation will be affected, while daughters who inherit it become carriers. Determining carrier status is essential to estimate the risk of affected offspring.
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Pedigree Analysis and Probability Calculation
Analyzing family history helps identify carriers and affected individuals. In this case, the maternal grandfather had hemophilia, so the mother’s mother is likely a carrier. Using this information, one can calculate the probability that S.R. is a carrier and then the chance her son will inherit the condition.
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