In a population of 100 cats , 36 were white and 64 were black . If the black allele is dominant over white allele , what is the frequency of black allele in this population of cats ?

Options

A. 0.64
B. 0.4
C. 0.6
D. 0.48

Answer

To find the frequency of the black allele in a population of cats where the black allele is dominant over the white allele, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Population**:
- The total number of cats in the population is given as 100.

2. **Identify the Number of Black and White Cats**:
- The number of black cats is 64.
- The number of white cats is 36.

3. **Understand Allele Dominance**:
- Since the black allele is dominant over the white allele, all black cats can either be homozygous (BB) or heterozygous (Bb), while white cats must be homozygous recessive (bb).

4. **Calculate the Frequency of Black Allele**:
- To find the frequency of the black allele (B), we can use the formula:
\[ \text{Frequency of black allele (B)} = \frac{\text{Number of black cats}}{\text{Total number of cats}} \]
- Substituting the values:
\[ \text{Frequency of black allele (B)} = \frac{64}{100} = 0.64 \]

5. **Conclusion**:
- The frequency of the black allele in this population of cats is 0.64.

### Final Answer:
The frequency of the black allele in this population of cats is **0.64**.

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