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Sagot :
Let's analyze the genetic cross between a short-haired guinea pig (genotype [tex]\(S_\)[/tex] or possibly [tex]\(SS\)[/tex] or [tex]\(Ss\)[/tex]) and a long-haired guinea pig (genotype [tex]\(ss\)[/tex]). For simplicity and common practice, we assume the short-haired guinea pig is heterozygous [tex]\(Ss\)[/tex], as dominant traits are most informative when considering heterozygous crosses.
### Step-by-Step Solution:
1. Identify the parent genotypes:
- Short-haired guinea pig: [tex]\(Ss\)[/tex]
- Long-haired guinea pig: [tex]\(ss\)[/tex]
2. Determine the possible gametes:
- The [tex]\(Ss\)[/tex] parent can produce gametes with [tex]\(S\)[/tex] or [tex]\(s\)[/tex].
- The [tex]\(ss\)[/tex] parent can produce gametes with [tex]\(s\)[/tex] only.
3. Set up the Punnett square:
```
S s
----------------
s | Ss | ss |
----------------
s | Ss | ss |
----------------
```
4. Identify the genotypes of the offspring:
- From the Punnett square:
- 50% chance ([tex]\(2/4\)[/tex]) for [tex]\(Ss\)[/tex]
- 50% chance ([tex]\(2/4\)[/tex]) for [tex]\(ss\)[/tex]
5. Determine the phenotypes of the offspring:
- [tex]\(Ss\)[/tex] results in short hair (dominant trait).
- [tex]\(ss\)[/tex] results in long hair (recessive trait).
6. Calculate the chance percentages:
- For genotypes:
- [tex]\(Ss\)[/tex]: 50%
- [tex]\(ss\)[/tex]: 50%
- For phenotypes:
- Short hair ([tex]\(Ss\)[/tex]): 50%
- Long hair ([tex]\(ss\)[/tex]): 50%
### Result Summary:
```plaintext
Genotype | Chance (%) of Offspring w/Genotype | Phenotype | Chance (%) of Offspring w/Phenotype
---------------------------------------------------------------------------------------------------------
Ss | 50% | Short hair | 50%
---------------------------------------------------------------------------------------------------------
ss | 50% | Long hair | 50%
---------------------------------------------------------------------------------------------------------
```
Each possible genotype and phenotype has been calculated step-by-step to ensure accuracy. This setup ensures you know the potential outcomes for the offspring of the genetic cross.
### Step-by-Step Solution:
1. Identify the parent genotypes:
- Short-haired guinea pig: [tex]\(Ss\)[/tex]
- Long-haired guinea pig: [tex]\(ss\)[/tex]
2. Determine the possible gametes:
- The [tex]\(Ss\)[/tex] parent can produce gametes with [tex]\(S\)[/tex] or [tex]\(s\)[/tex].
- The [tex]\(ss\)[/tex] parent can produce gametes with [tex]\(s\)[/tex] only.
3. Set up the Punnett square:
```
S s
----------------
s | Ss | ss |
----------------
s | Ss | ss |
----------------
```
4. Identify the genotypes of the offspring:
- From the Punnett square:
- 50% chance ([tex]\(2/4\)[/tex]) for [tex]\(Ss\)[/tex]
- 50% chance ([tex]\(2/4\)[/tex]) for [tex]\(ss\)[/tex]
5. Determine the phenotypes of the offspring:
- [tex]\(Ss\)[/tex] results in short hair (dominant trait).
- [tex]\(ss\)[/tex] results in long hair (recessive trait).
6. Calculate the chance percentages:
- For genotypes:
- [tex]\(Ss\)[/tex]: 50%
- [tex]\(ss\)[/tex]: 50%
- For phenotypes:
- Short hair ([tex]\(Ss\)[/tex]): 50%
- Long hair ([tex]\(ss\)[/tex]): 50%
### Result Summary:
```plaintext
Genotype | Chance (%) of Offspring w/Genotype | Phenotype | Chance (%) of Offspring w/Phenotype
---------------------------------------------------------------------------------------------------------
Ss | 50% | Short hair | 50%
---------------------------------------------------------------------------------------------------------
ss | 50% | Long hair | 50%
---------------------------------------------------------------------------------------------------------
```
Each possible genotype and phenotype has been calculated step-by-step to ensure accuracy. This setup ensures you know the potential outcomes for the offspring of the genetic cross.
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