A plant population has the following distribution of genotypes for flower color.

\begin{tabular}{|c|c|c|c|}
\hline
Genotype & [tex]$R R$[/tex] & [tex]$R r$[/tex] & [tex]$r r$[/tex] \\
\hline
\begin{tabular}{c}
Number of \\
individuals
\end{tabular} & 20 & 50 & 30 \\
\hline
Phenotype & Dark red & Red & White \\
\hline
\end{tabular}

What is the frequency of the [tex]$r r$[/tex] genotype?

A. 1.0
B. 0.5
C. 0.2
D. 0.3



Answer :

To determine the frequency of the [tex]\( rr \)[/tex] genotype in the plant population, follow these steps:

1. Determine the total number of individuals in the population:
- There are 20 individuals with the [tex]\(RR\)[/tex] genotype.
- There are 50 individuals with the [tex]\(Rr\)[/tex] genotype.
- There are 30 individuals with the [tex]\(rr\)[/tex] genotype.

Thus, we calculate the total number of individuals as:
[tex]\[ \text{Total number of individuals} = 20 + 50 + 30 = 100 \][/tex]

2. Calculate the frequency of the [tex]\( rr \)[/tex] genotype:
- The [tex]\( rr \)[/tex] genotype has 30 individuals.
- The frequency of a particular genotype is given by the number of individuals with that genotype divided by the total number of individuals in the population.

Thus, the frequency of the [tex]\( rr \)[/tex] genotype is:
[tex]\[ \text{Frequency of } rr = \frac{\text{Number of individuals with } rr}{\text{Total number of individuals}} = \frac{30}{100} = 0.3 \][/tex]

Therefore, the frequency of the [tex]\( rr \)[/tex] genotype is [tex]\( 0.3 \)[/tex].

The correct answer is:
D. 0.3