To determine the frequency of the black phenotype among this population of hamsters, you can follow these steps:
1. Identify the Number of Black Hamsters:
- According to the table, the genotype [tex]\( g g \)[/tex] corresponds to black hamsters.
- The number of black hamsters [tex]\( g g \)[/tex] is 13.
2. Calculate the Total Number of Hamsters:
- Summing up the total number of hamsters for all genotypes:
[tex]\[
12 \, \text{(golden GG)} + 25 \, \text{(golden Gg)} + 13 \, \text{(black gg)} = 50
\][/tex]
- The total number of hamsters is 50.
3. Compute the Frequency of the Black Phenotype:
- The frequency of a phenotype is the number of individuals with that phenotype divided by the total number of individuals in the population.
- For the black phenotype:
[tex]\[
\text{Frequency of black phenotype} = \frac{\text{Number of black hamsters}}{\text{Total number of hamsters}} = \frac{13}{50}
\][/tex]
4. Choose the Correct Answer:
- Considering the given answer choices:
- A. [tex]\( \frac{12}{50} \)[/tex]
- B. [tex]\( \frac{25}{25} \)[/tex]
- C. [tex]\( \frac{13}{38} \)[/tex]
- D. [tex]\( \frac{13}{50} \)[/tex]
- The correct frequency of the black phenotype is [tex]\( \frac{13}{50} \)[/tex].
Thus, the answer is:
D. [tex]\( \frac{13}{50} \)[/tex]
