Question
In fruit flies, red eyes are dominant (R) and white eyes are recessive (r).
– What is the probability that a cross between two heterozygous red-eyed flies will produce a homozygous white-eyed fly?
– What is the probability that a cross between a homozygous white-eyed fly and a heterozygous red-eyed fly will produce a homozygous white-eyed fly?
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Answers
GPT-4o mini
To solve the questions, we can use a simple method called a Punnett square, which helps us see the possible combinations of genes from the parents.
1. **Cross between two heterozygous red-eyed flies (Rr x Rr)**:
- Parent 1: Rr
- Parent 2: Rr
The possible combinations of alleles from these parents are:
- RR (homozygous red)
- Rr (heterozygous red)
- Rr (heterozygous red)
- rr (homozygous white)
The results can be summarized as follows:
- 1 RR (red)
- 2 Rr (red)
- 1 rr (white)
So, out of 4 total possible combinations, only **1** (the rr) is for the homozygous white-eyed flies.
The probability of getting a homozygous white-eyed fly (rr) is:
\[
\frac{1}{4} = 25\%
\]
2. **Cross between a homozygous white-eyed fly and a heterozygous red-eyed fly (rr x Rr)**:
- Parent 1: rr
- Parent 2: Rr
The possible combinations of alleles from these parents are:
- Rr (heterozygous red)
- rr (homozygous white)
The results can be summarized as follows:
- 1 Rr (red)
- 1 rr (white)
So, out of 2 total possible combinations, only **1** (the rr) is for the homozygous white-eyed flies.
The probability of getting a homozygous white-eyed fly (rr) is:
\[
\frac{1}{2} = 50\%
\]
**Summary**:
- The probability of two heterozygous red-eyed flies producing a homozygous white-eyed fly is **25%**.
- The probability of a homozygous white-eyed fly and a heterozygous red-eyed fly producing a homozygous white-eyed fly is **50%**.
1. **Cross between two heterozygous red-eyed flies (Rr x Rr)**:
- Parent 1: Rr
- Parent 2: Rr
The possible combinations of alleles from these parents are:
- RR (homozygous red)
- Rr (heterozygous red)
- Rr (heterozygous red)
- rr (homozygous white)
The results can be summarized as follows:
- 1 RR (red)
- 2 Rr (red)
- 1 rr (white)
So, out of 4 total possible combinations, only **1** (the rr) is for the homozygous white-eyed flies.
The probability of getting a homozygous white-eyed fly (rr) is:
\[
\frac{1}{4} = 25\%
\]
2. **Cross between a homozygous white-eyed fly and a heterozygous red-eyed fly (rr x Rr)**:
- Parent 1: rr
- Parent 2: Rr
The possible combinations of alleles from these parents are:
- Rr (heterozygous red)
- rr (homozygous white)
The results can be summarized as follows:
- 1 Rr (red)
- 1 rr (white)
So, out of 2 total possible combinations, only **1** (the rr) is for the homozygous white-eyed flies.
The probability of getting a homozygous white-eyed fly (rr) is:
\[
\frac{1}{2} = 50\%
\]
**Summary**:
- The probability of two heterozygous red-eyed flies producing a homozygous white-eyed fly is **25%**.
- The probability of a homozygous white-eyed fly and a heterozygous red-eyed fly producing a homozygous white-eyed fly is **50%**.
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