In duroc jersy hog, the coat colour is dependant on two pairs of alleles, R and r and S and s. Any genotype containing at least on R-gene and at least one S-gene results in red coat colour. The double recessive genotype results in white coat colour. All other genotype results sandy coat colour. If ne hog with genotype "RrSs" mated with another hog with genotype "rrss" what kind of offsprings will be produced by above cross :-

Options

A. 9 red : 6-sandy : 1 white
B. 9 red : 3-sandy : 4 white
C. 12 red : 3-sandy : 1 white
D. 1 red : 2-sandy : 1 white

Answer

To solve the problem regarding the coat color of Duroc Jersey hogs, we need to analyze the genetic cross between two hogs with the given genotypes: one with genotype "RrSs" and the other with genotype "rrss".

### Step-by-Step Solution:

1. **Identify the Genotypes and Their Alleles**:
- The first hog has the genotype **RrSs**. This means it has one dominant allele (R) and one recessive allele (r) for the first gene, and one dominant allele (S) and one recessive allele (s) for the second gene.
- The second hog has the genotype **rrss**, which means it has two recessive alleles for both genes.

2. **Determine the Gametes**:
- The first hog (RrSs) can produce four types of gametes due to independent assortment:
- **RS** (dominant for both traits)
- **Rs** (dominant for the first trait, recessive for the second)
- **rS** (recessive for the first trait, dominant for the second)
- **rs** (recessive for both traits)
- The second hog (rrss) can only produce one type of gamete:
- **rs** (recessive for both traits)

3. **Set Up the Punnett Square**:
- We will set up a Punnett square to visualize the potential offspring from the cross:

| | rs |
|-------|------|
| RS | RrSs |
| Rs | Rrss |
| rS | rrSs |
| rs | rrss |

4. **Analyze the Offspring Genotypes**:
- From the Punnett square, we can see the following genotypes for the offspring:
- **RrSs** (Red coat color)
- **Rrss** (Sandy coat color)
- **rrSs** (Sandy coat color)
- **rrss** (White coat color)

5. **Determine the Coat Colors**:
- **RrSs**: Contains at least one R and one S → Red coat color
- **Rrss**: Contains at least one R but no S → Sandy coat color
- **rrSs**: Contains no R but at least one S → Sandy coat color
- **rrss**: Contains neither R nor S → White coat color

6. **Count the Offspring Colors**:
- From the analysis, we have:
- 1 Red (RrSs)
- 2 Sandy (Rrss and rrSs)
- 1 White (rrss)

7. **Conclusion**:
- The ratio of the offspring is 1 Red : 2 Sandy : 1 White. Therefore, the answer to the question is:
- **1 Red, 2 Sandy, 1 White**.

### Final Answer:
**1 Red, 2 Sandy, 1 White**.