A 'wrongful birth' case was recently brought before a court in which a child with Smith–Lemli–Opitz syndrome was born to apparently healthy parents. This syndrome is characterized by a cluster of birth defects, including cleft palate, and an array of problems with the reproductive and urinary organs. Originally considered by their physician as having a nongenetic basis, the parents decided to have another child, who was also born with Smith–Lemli–Opitz syndrome. In the role of a genetic counselor, instruct the court about what occurred, including the probability of the parents having two affected offspring, knowing that the disorder is inherited as a recessive trait. What is the probability that neither of them is a carrier?
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 27c
Textbook Question
In pea plants, plant height, seed shape, and seed color are governed by three independently assorting genes. The three genes have dominant and recessive alleles, with tall (T) dominant to short (t), round (R) dominant to wrinkled (r), and yellow (G) dominant to green (g).
What proportion of the that produce round, green seeds (regardless of the height of the plant) are expected to breed true?

1
Step 1: Understand the problem. The question asks for the proportion of plants producing round, green seeds that are expected to breed true. Breeding true means the organism is homozygous for the traits in question. For round seeds, the genotype must be RR, and for green seeds, the genotype must be gg.
Step 2: Identify the relevant genes and their alleles. The traits are governed by three independently assorting genes: T/t for plant height, R/r for seed shape, and G/g for seed color. Since the question focuses on round (R) and green (g) seeds, we will focus on these two genes.
Step 3: Determine the genotypes that produce round, green seeds. Round seeds can result from either RR (homozygous dominant) or Rr (heterozygous), and green seeds result from gg (homozygous recessive). Therefore, the possible genotypes for round, green seeds are RRgg and Rrgg.
Step 4: Calculate the proportion of round, green seeds that are homozygous for both traits (breeding true). To breed true, the plant must have the genotype RRgg. Use the rules of independent assortment and Punnett squares to determine the probability of RRgg among all round, green seeds.
Step 5: Use the probabilities from the Punnett squares to calculate the proportion of RRgg individuals among the total round, green seeds. This involves dividing the probability of RRgg by the combined probability of RRgg and Rrgg. Ensure that the calculations account for independent assortment of the genes.

This video solution was recommended by our tutors as helpful for the problem above
Video duration:
6mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Independent Assortment
Independent assortment is a fundamental principle of genetics that states genes for different traits are inherited independently of one another. This means that the allele a gamete receives for one gene does not influence the allele received for another gene. In the context of the question, this principle allows us to analyze the inheritance of plant height, seed shape, and seed color separately.
Recommended video:
Guided course
Gamete Genetics and Independent Assortment
Dominant and Recessive Alleles
Dominant and recessive alleles are types of alleles that determine the expression of traits. A dominant allele, represented by a capital letter (e.g., T, R, G), masks the effect of a recessive allele (e.g., t, r, g) when both are present in an organism. In this scenario, the dominant alleles for round seeds (R) and yellow seeds (G) will determine the phenotype of the seeds, while the recessive alleles will only express their traits when homozygous.
Recommended video:
Guided course
Variations on Dominance
Breeding True
Breeding true refers to the ability of a plant to produce offspring that consistently exhibit the same traits as the parent. This typically occurs when an organism is homozygous for a trait, meaning it has two identical alleles (e.g., RR for round seeds or gg for green seeds). In the context of the question, determining the proportion of plants that produce round, green seeds and breed true involves identifying the homozygous combinations for those traits.
Recommended video:
Guided course
Chi Square Analysis
Related Videos
Related Practice
Textbook Question
479
views