Answered

Get expert advice and community support for all your questions on IDNLearn.com. Find reliable solutions to your questions quickly and accurately with help from our dedicated community of experts.

A pair of mice are bred several times, generating the following data table. What are the most likely genotypes of the parents?

| Fur Color | Number |
|-----------|--------|
| Black | 22 |
| White | 23 |
| Total | 45 |

A. FF and ff
B. FF and Ff
C. Ff and Ff
D. Ff and ff

Sagot :

GinnyAnsweridn
To determine the most likely genotypes of the parents based on the given data, let's analyze the inheritance pattern of fur color in mice.

The data provided is:

- 22 mice with black fur
- 23 mice with white fur
- Total of 45 mice

### Step 1: Understanding the Genotype and Phenotype Relationship

- Assume the fur color trait is controlled by a single gene with two alleles: F (dominant allele for black fur) and f (recessive allele for white fur).
- Black fur can result from either FF (homozygous dominant) or Ff (heterozygous).
- White fur results from ff (homozygous recessive) only.

### Step 2: Analyze the Ratio

The numbers of black and white fur mice are nearly equal, about a 1:1 ratio (22 black to 23 white).

### Step 3: Evaluate Possible Parental Genotype Combinations

#### Option A: FF (black) × ff (white)

- All offspring would be Ff (black). This option would produce 100% black fur offspring and 0% white fur offspring, inconsistent with the data.

#### Option B: FF (black) × Ff (black)

- This combination would yield:
- 50% FF (black)
- 50% Ff (black)
- Resulting in 100% black fur and 0% white fur, inconsistent with the data.

#### Option C: Ff (black) × Ff (black)

- This combination would yield a classic Mendelian 3:1 ratio:
- 25% FF (black)
- 50% Ff (black)
- 25% ff (white)
- However, since Ff and FF both display black fur, the phenotypic ratio observed would be 75% black to 25% white in large samples.
- Important: In smaller samples or specific cases such as 45 offspring, approximate ratios can vary due to statistical fluctuation. An approximate 1:1 ratio here suggests that random distribution has slightly deviated from theoretical expectation but still supports Ff x Ff.

#### Option D: Ff (black) × ff (white)

- This combination would yield:
- 50% Ff (black)
- 50% ff (white)
- This results in a 1:1 ratio of black to white fur, closely matching the observed data.

### Step 4: Conclusion

Given the nearly 1:1 ratio of black to white fur mice, the most likely genotype of the parents is indeed that which typically produces this ratio. This supports the combination:

- Option C: Ff and Ff

Thus, the most likely genotypes of the parents are:
Ff and Ff (Option C).
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.