in humans, the allele for dimples (d) is dominant to the allele for no dimples (d). at another gene locus, the allele for broad eyebrows (b) is dominant to the allele for slender eyebrows (b). these two allele pairs assort independently. a man who is heterozygous for both traits marries a woman who has no dimples and who is heterozygous at the gene locus controlling eyebrow width. complete the sentences about this dihybrid cross with the correct terms.

the genotype of the man is

the genotype of the woman is

the genotype of the gametes produced by the man is

the genotype of the gametes produced by the woman is

the probability that their first child will have dimples is

the probability that their first child will have dimples and slender eyebrows is

Question

in humans, the allele for dimples (d) is dominant to the allele for no dimples (d). at another gene locus, the allele for broad eyebrows (b) is dominant to the allele for slender eyebrows (b). these two allele pairs assort independently. a man who is heterozygous for both traits marries a woman who has no dimples and who is heterozygous at the gene locus controlling eyebrow width. complete the sentences about this dihybrid cross with the correct terms.

the genotype of the man is

the genotype of the woman is

the genotype of the gametes produced by the man is

the genotype of the gametes produced by the woman is

the probability that their first child will have dimples is

the probability that their first child will have dimples and slender eyebrows is

Accepted Answer

# Brief Explanations:
- **Genotype of the man**: Since the man is heterozygous for both traits (dimples and eyebrow width), his genotype is $DdBb$.
- **Genotype of the woman**: The woman has no dimples ($dd$) and is heterozygous for eyebrow width ($Bb$), so her genotype is $ddBb$.
- **Gametes of the man**: Using the principle of independent assortment, for $DdBb$, the possible gametes are $25\%\ DB$, $25\%\ Db$, $25\%\ dB$, $25\%\ db$.
- **Gametes of the woman**: For $ddBb$, the possible gametes are $50\%\ dB$ and $50\%\ db$.
- **Probability of child having dimples**: Looking at the dimple - related alleles ($Dd\times dd$), using the Punnett square or probability rules ($P(Dd)=\frac{1}{2}$, $P(dd)=\frac{1}{2}$), the probability of having dimples ($Dd$) is $\frac{1}{2}$.
- **Probability of child having dimples and slender eyebrows**: For dimples ($Dd\times dd$), $P(Dd)=\frac{1}{2}$, for slender eyebrows ($Bb\times Bb$), $P(bb)=\frac{1}{4}$. Using the multiplication rule for independent events $P = \frac{1}{2}\times\frac{1}{4}=\frac{1}{8}$.

# Answer:
- The genotype of the man is $DdBb$.
- The genotype of the woman is $ddBb$.
- The genotype of the gametes produced by the man is $25\%\ DB$, $25\%\ Db$, $25\%\ dB$, $25\%\ db$.
- The genotype of the gametes produced by the woman is $50\%\ dB$ and $50\%\ db$.
- The probability that their first child will have dimples is $\frac{1}{2}$.
- The probability that their first child will have dimples and slender eyebrows is $\frac{1}{8}$.

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