Answer:
Possible genotypes and their frequencies
Frequency of babies with blues eye having genotype "bb" is ![0.5](https://tex.z-dn.net/?f=0.5)
Frequency of babies with brown eye having genotype "Bb" is ![0.41](https://tex.z-dn.net/?f=0.41)
Frequency of babies with brown eye having genotype "BB" is ![0.084](https://tex.z-dn.net/?f=0.084)
Explanation:
In a normal human being, brown eye color is dominant over blue eye color.
Thus B is dominant over b
Now,
Babies with blue eye colour will have genotype "bb" because it is a recessive trait thus both the alleles must be the recessive allele.
Therefore,
![q^{2} = \frac{10}{20} \\=0.5](https://tex.z-dn.net/?f=q%5E%7B2%7D%20%3D%20%5Cfrac%7B10%7D%7B20%7D%20%5C%5C%3D0.5)
Thus
![q=\sqrt{0.5} \\= 0.707\\=0.71](https://tex.z-dn.net/?f=q%3D%5Csqrt%7B0.5%7D%20%5C%5C%3D%200.707%5C%5C%3D0.71)
While the genotype of brown babies can be either homozygous dominant or heterzygous dominant
Now as per Hardy Weinberg's equation -
![p+q=1](https://tex.z-dn.net/?f=p%2Bq%3D1)
so ![p=1-0.71](https://tex.z-dn.net/?f=p%3D1-0.71)
![p = 0.29](https://tex.z-dn.net/?f=p%20%3D%200.29)
Thus frequency of babies with genotype "BB" is equal to ![p^{2}](https://tex.z-dn.net/?f=p%5E%7B2%7D)
![= 0.084](https://tex.z-dn.net/?f=%3D%200.084)
Now frequency of babies with genotype "Bb" is
![1-p^{2} -q^{2} =2pq](https://tex.z-dn.net/?f=1-p%5E%7B2%7D%20-q%5E%7B2%7D%20%3D2pq)
![2pq = 0.41](https://tex.z-dn.net/?f=2pq%20%3D%200.41)
Thus,
Frequency of babies with blues eye having genotype "bb" is ![0.5](https://tex.z-dn.net/?f=0.5)
Frequency of babies with brown eye having genotype "Bb" is ![0.41](https://tex.z-dn.net/?f=0.41)
Frequency of babies with brown eye having genotype "BB" is ![0.084](https://tex.z-dn.net/?f=0.084)