To determine the possible hair color and allele combinations for the other parent based on the given information, we can analyze the genetics involved:
- **Blonde hair (b)** is recessive.
- **Brown hair (B)** is dominant.
The first parent has the genotype **Bb** (brown hair), which means they carry one dominant allele (B) for brown hair and one recessive allele (b) for blonde hair.
1. **First Child (bb)**:
The first child has blonde hair, meaning they must have the genotype **bb**. For the child to have this genotype, they must have inherited a recessive allele (b) from both parents. Therefore, the other parent must also have contributed a recessive allele (b).
2. **Second Child (BB)**:
The second child has brown hair and a genotype of **BB**. This indicates that they have received a dominant allele (B) from both parents. Since the first parent is **Bb**, they can contribute either a B or a b allele. However, to produce a child with the **BB** genotype, the other parent must have at least one dominant allele (B) to contribute.
Given these observations:
- The first child (bb) tells us the other parent has to have at least one recessive allele (b), so this parent must have a genotype of either **Bb** (heterozygous) or **bb** (homozygous recessive).
- The second child (BB) indicates the other parent must have the dominant allele (B), making it impossible for the other parent to be **bb**.
**Conclusion**: The other parent's genotype must be **Bb** (they have brown hair but also carry the recessive blonde allele).
So, the other parent's hair color and allele combination is:
- **Hair Color**: Brown
- **Genotype**: Bb