The problem describes a pedigree chart related to albinism, a recessive trait in humans. We are asked to: - Fill out the genotypes (AA, Aa, or aa) of each individual in the pedigree. - Determine the number of children the original couple had. - Determine the number of grandchildren they have. - Determine the sexes of the children. - Highlight the individuals that are carriers of albinism.

Probability and StatisticsGeneticsPedigree AnalysisRecessive TraitsProbability
2025/3/31

1. Problem Description

The problem describes a pedigree chart related to albinism, a recessive trait in humans. We are asked to:
- Fill out the genotypes (AA, Aa, or aa) of each individual in the pedigree.
- Determine the number of children the original couple had.
- Determine the number of grandchildren they have.
- Determine the sexes of the children.
- Highlight the individuals that are carriers of albinism.

2. Solution Steps

Step 1: Determine the genotypes of individuals with albinism.
Since albinism is a recessive trait, individuals with albinism must have the genotype aaaa. Based on the pedigree, we can identify the affected individuals (filled symbols) and assign them the genotype aaaa.
Step 2: Determine the genotypes of the parents of individuals with albinism.
If an individual has albinism (aaaa), they must have inherited one 'a' allele from each parent. This means that the parents must have at least one 'a' allele. Since they are not affected by albinism, they must also have at least one 'A' allele. Therefore, the parents of affected individuals must have the genotype AaAa.
Step 3: Determine the genotype of the original couple.
The first generation consists of a male and a female. They have an affected daughter. Therefore, both parents must be carriers. So the genotypes of original couple would be AaAa.
Step 4: Analyze the second generation.
The individuals in the second generation are a daughter with albinism (aaaa) and two unaffected children. We know their parents are AaAa and we also know one of them must be AaAa (daughter). The affected daughter must be aaaa. The other two children do not express the trait and so at least have one AA allele.
Step 5: Analyze the third generation.
The parents of the affected male are AaAa and they also have one female child without albinism. So she has at least one AA allele.
Step 6: Fill out the pedigree chart with genotypes.
- Original couple: Both AaAa
- Daughter in the second generation: aaaa
- Other two children in the second generation: AaAa
- Male in the third generation: aaaa
- Female in the third generation: AaAa
Step 7: Count the number of children of the original couple.
The original couple has three children.
Step 8: Count the number of grandchildren of the original couple.
The original couple has two grandchildren.
Step 9: Determine the sexes of the children.
The original couple has one daughter and two sons.
Step 10: Identify the carriers of albinism.
The carriers of albinism are individuals with the genotype AaAa. Based on our analysis, all unaffected individuals who are related to affected individuals and who have parents/offspring who are affected are carriers.

3. Final Answer

Fill out the blanks of the pedigree (AA, Aa, or aa):
- First generation: Both AaAa
- Second generation: aaaa, AaAa, AaAa
- Third generation: aaaa, AaAa
How many children did the original couple have? 3
How many grandchildren do they have? 2
What are the sexes of the children? One daughter, two sons.
Highlight the individuals that are carriers of albinism:
- Both individuals in the first generation.
- Two individuals in the second generation who are unaffected by albinism.
- One individual in the third generation who are unaffected by albinism.

Related problems in "Probability and Statistics"

A fair die is tossed twice. We want to find the probability of getting a sum of at least 10.

ProbabilityDiscrete ProbabilityDie RollsExpected Value
2025/4/11

A box contains 40 identical balls. Among these, 10 are red and 12 are blue. A ball is randomly selec...

ProbabilityCombinatoricsBasic Probability
2025/4/11

The problem provides a table showing the heights (in cm) of 37 basketball players and the number of ...

MeanStatisticsData AnalysisAverages
2025/4/11

The problem asks to find the first quartile (Q1) of the dataset: 7, 8, 7, 9, 11, 8, 7, 9, 6, and 8.

Descriptive StatisticsQuartilesMedianData Analysis
2025/4/11

The interquartile range (IQR) of a distribution is given as 7. The 25th percentile (Q1) is given as ...

StatisticsInterquartile RangePercentilesData Analysis
2025/4/10

We are asked to find the probability of selecting a green ball from a box. We are provided with mult...

ProbabilityConditional ProbabilityIncomplete InformationMultiple Choice
2025/4/10

We are given a probability problem where two balls are selected at random, one after the other, with...

ProbabilityIndependent EventsWith Replacement
2025/4/10

The problem asks us to calculate the standard deviation of the numbers 15, 21, 17, 26, 18, and 29, g...

Standard DeviationStatisticsData Analysis
2025/4/10

The problem consists of two parts. Part 1: Given $P(\overline{A}) = 0.3$, $P(B) = 0.4$, and $P(A \ca...

Conditional ProbabilitySet TheoryProbability Rules
2025/4/10

The problem provides a table showing the distribution of marks scored by students. The marks range f...

MeanInterquartile RangeProbabilityData AnalysisFrequency Distribution
2025/4/10