The problem describes a cross between two dragonflies where red body color is dominant over green body color. A Punnett square is provided showing the offspring genotypes as $Rr$. We need to determine the genotypes of the parents.

Probability and StatisticsGeneticsPunnett SquareAllelesProbability
2025/4/2

1. Problem Description

The problem describes a cross between two dragonflies where red body color is dominant over green body color. A Punnett square is provided showing the offspring genotypes as RrRr. We need to determine the genotypes of the parents.

2. Solution Steps

The Punnett square shows that all offspring have the genotype RrRr. This means that one allele from each parent combined to give RrRr.
If both parents were RrRr (heterozygous), the Punnett square would look like this:
| | R | r |
|------|------|------|
| R | RR | Rr |
| r | Rr | rr |
This would result in the genotypes RRRR, RrRr, and rrrr.
Since the only offspring genotype is RrRr, the genotypes of the parents must be rrrr and RRRR. However, this is not given as an option.
Consider if both parents are RrRr. In this case, all offspring would have RrRr.
Parent 1: RrRr
Parent 2: RrRr
| | R | r |
|------|------|------|
| R | RR | Rr |
| r | Rr | rr |
Then, we would see genotypes RR,Rr,RR, Rr, and rrrr as possible outcomes, and this result is not compatible with the given result that all offsprings are RrRr.
Let's examine each choice given in the question:
A. One parent is heterozygous, and the other is also heterozygous.
This means both parents are RrRr. In this case, from the Punnett square above, there will be RRRR, RrRr and rrrr offspring. The results do not match the problem description in that all offspring are RrRr.
However, the given Punnett square shows all offspring are RrRr. Let's consider if each parent gives exactly one allele, RR and rr. Since each offspring has RrRr, one of the parent must have RR to pass on, and another must have rr to pass on. If one parent is heterozygous RrRr, then it may either give RR or rr. However, If all offspring are RrRr, then both parents must be RrRr, that gives the outcome:
Genotype of parents: RrRr and RrRr.
| | R | r |
|---|---|---|
| R | RR| Rr|
| r | Rr| rr|
Here, not all offspring would have the genotype RrRr. However, if all offspring are RrRr, then this could be the best answer.
B. One parent is heterozygous, and the other is homozygous dominant.
This means one parent is RrRr and the other is RRRR. In this case, there will be RRRR and RrRr offspring. The results do not match the problem description.
C. One parent is heterozygous, and the other is homozygous recessive.
This means one parent is RrRr and the other is rrrr. In this case, there will be RrRr and rrrr offspring. The results do not match the problem description.
The best answer would be that both parents are heterozygous, but this still is not matching the result that the only offspring's genotype is RrRr.
Let's reconsider option A. If both parents are heterozygous RrRr, the possible offspring are RR,Rr,RR, Rr, and rrrr. The Punnett square shows all offspring are RrRr. Perhaps there is some error with the Punnett square given?

3. Final Answer

One parent is heterozygous, and the other is also heterozygous.

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