Let the genotype of black hair be BBlet the genotype of red hair be bbtherefore the genotype of mother's hair is bb while father's hair is BB.flowchart:-       Father (BB)   Mother (bb)                                 /            __________/                      /                 child (Bb)therefore the child will have black hair since it is dominant but will also contain the recessive red hair trait but will not be expressed. (P.S. Flowchart is weird. Sorry for that)?

**Hair Color Inheritance**

In order to determine the hair color of a person who inherits a gene for red hair from their mother and a gene for black hair from their father, we need to understand the basic principles of hair color inheritance.

**1. Hair Color Genes**

Hair color is determined by multiple genes, but for the purpose of this question, we are focusing on the gene that controls the production of the pigment responsible for hair color. This gene comes in different versions or alleles, where each allele represents a specific hair color trait.

**2. Alleles for Hair Color**

In this case, we have two alleles for hair color:

- Black hair allele (B)
- Red hair allele (b)

**3. Dominance and Recessiveness**

The black hair allele (B) is dominant, meaning that if an individual has at least one copy of the black hair allele, their hair color will be black. On the other hand, the red hair allele (b) is recessive, meaning that an individual must have two copies of the red hair allele in order to have red hair.

**4. Genotype and Phenotype**

The combination of alleles an individual has is referred to as their genotype, while the physical expression of those alleles is called their phenotype.

- Homozygous genotype: Two identical alleles (BB or bb)
- Heterozygous genotype: Two different alleles (Bb)

**5. Flowchart of Cross**

Let's create a flowchart to determine the hair color of a person who inherits a red hair allele from their mother (Bb) and a black hair allele from their father (Bb):

- Mother (Bb) x Father (Bb)
- Possible gametes from mother: B or b
- Possible gametes from father: B or b

- Cross the gametes:
- Possible combinations:
- BB (black hair)
- Bb (black hair)
- bB (black hair)
- bb (red hair)

- Phenotypic ratio:
- 3:1 - Three individuals with black hair for every one individual with red hair

**6. Conclusion**

Based on the flowchart and the principles of hair color inheritance, if a person inherits a red hair allele from their mother and a black hair allele from their father, their genotype would be Bb and their phenotype would be black hair. This is because the black hair allele (B) is dominant over the red hair allele (b), and a single copy of the black hair allele is sufficient to determine the black hair color.