Textbook Question
List all the different gametes that are possible from the following genotypes.
AabbCcDD
Ch. 2 - Transmission Genetics
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch. 1 - The Molecular Basis of Heredity, Variation, and Evolution64
- Ch. 2 - Transmission Genetics144
- Ch. 3 - Cell Division and Chromosome Heredity81
- Ch. 4 - Gene Interaction87
- Ch. 5 - Genetic Linkage and Mapping in Eukaryotes103
- Ch. 6 - Genetic Analysis and Mapping in Bacteria and Bacteriophages73
- Ch. 7 - DNA Structure and Replication71
- Ch. 8 - Molecular Biology of Transcription and RNA Processing79
- Ch. 9 - The Molecular Biology of Translation110
- Ch. 10 - Eukaryotic Chromosome Abnormalities and Molecular Organization100
- Ch. 11 - Gene Mutation, DNA Repair, and Homologous Recombination86
- Ch. 12 - Regulation of Gene Expression in Bacteria and Bacteriophage90
- Ch. 13 - Regulation of Gene Expression in Eukaryotes38
- Ch. 14 - Analysis of Gene Function via Forward Genetics and Reverse Genetics72
- Ch. 15 - Recombinant DNA Technology and Its Applications69
- Ch. 16 - Genomics: Genetics from a Whole-Genome Perspective49
- Ch. 17 - Organelle Inheritance and the Evolution of Organelle Genomes27
- Ch. 18 - Developmental Genetics43
- Ch. 19 - Genetic Analysis of Quantitative Traits66
- Ch. 20 - Population Genetics and Evolution at the Population, Species, and Molecular Levels105
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172Not the one you use?Change textbook
Chapter 2, Problem 22b
The seeds in bush bean pods are each the product of an independent fertilization event. Green seed color is dominant to white seed color in bush beans. If a heterozygous plant with green seeds self-fertilizes, what is the probability that 6 seeds in a single pod of the progeny plant will consist of all green seeds?
Verified step by step guidance1
Understand the genetic basis of the problem: Green seed color (G) is dominant to white seed color (g). A heterozygous plant (Gg) has one dominant allele and one recessive allele. When self-fertilized, the offspring will follow Mendel's laws of inheritance.
Determine the genotypic ratio from a heterozygous (Gg) self-fertilization: Use a Punnett square to calculate the offspring genotypes. The possible combinations are GG, Gg, Gg, and gg, resulting in a genotypic ratio of 1:2:1 (1 GG, 2 Gg, 1 gg).
Translate the genotypic ratio into phenotypic probabilities: Both GG and Gg result in green seeds, while gg results in white seeds. Therefore, the probability of a green seed is 3/4, and the probability of a white seed is 1/4.
Apply the binomial probability formula to calculate the probability of all 6 seeds being green: The formula is \( P = \binom{n}{k} p^k (1-p)^{n-k} \), where \( n \) is the total number of trials (6 seeds), \( k \) is the number of successes (6 green seeds), \( p \) is the probability of success (3/4), and \( 1-p \) is the probability of failure (1/4).
Substitute the values into the formula: \( P = \binom{6}{6} (3/4)^6 (1/4)^0 \). Simplify the expression to calculate the final probability of all 6 seeds being green.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
3mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Mendelian Genetics
Mendelian genetics is the study of how traits are inherited through generations based on the principles established by Gregor Mendel. It involves understanding dominant and recessive alleles, where dominant traits mask the expression of recessive traits. In this case, green seed color is dominant over white, meaning that a plant with at least one green allele will exhibit green seeds.
Recommended video:
Guided course
03:45
Descriptive Genetics
Punnett Square
A Punnett square is a diagram used to predict the genetic makeup of offspring from a particular cross. It helps visualize the possible combinations of alleles from the parents. For a heterozygous plant (Gg), the Punnett square would show the probabilities of producing offspring with green (GG or Gg) or white (gg) seeds, which is essential for calculating the likelihood of all seeds being green.
Recommended video:
Guided course
18:27Chi Square Analysis
Binomial Probability
Binomial probability refers to the likelihood of a specific number of successes in a fixed number of independent trials, each with the same probability of success. In this scenario, the probability of obtaining green seeds can be calculated using the binomial formula, where the success is defined as producing a green seed. This concept is crucial for determining the probability that all 6 seeds in a pod will be green.
Recommended video:
Guided course
07:41Probability
Related Practice
Textbook Question
The accompanying pedigree shows the transmission of a phenotypic character. Using B to represent a dominant allele and b to represent a recessive allele,
Give the genotype(s) possible for each member of the family, assuming the trait is autosomal dominant.
5
views
Textbook Question
The seeds in bush bean pods are each the product of an independent fertilization event. Green seed color is dominant to white seed color in bush beans. If a heterozygous plant with green seeds self-fertilizes, what is the probability that 6 seeds in a single pod of the progeny plant will consist of 3 green and 3 white seeds?
Textbook Question
The seeds in bush bean pods are each the product of an independent fertilization event. Green seed color is dominant to white seed color in bush beans. If a heterozygous plant with green seeds self-fertilizes, what is the probability that 6 seeds in a single pod of the progeny plant will consist of at least 1 white seed?
Textbook Question
List all the different gametes that are possible from the following genotypes.
AABbCcDd
Textbook Question
The accompanying pedigree shows the transmission of a phenotypic character. Using B to represent a dominant allele and b to represent a recessive allele,
Give the genotype(s) possible for each member of the family, assuming the trait is autosomal recessive.
5
views