There is a possibility that 1 in 4 progeny or 25% progeny is blue eyed.
Explaination:
Given in the question:
Dominant eye color is brown
Recessive to brown is green
blue is recessive to both green and brown
Kate = green eyes (mother brown eyed X father blue eyed)
The gey gene has two alleles one of blue and other of green.
Thus genotype of mother was Bbgreen
genotype of father bb
Bbgreen X bb
Bb bb bgreeb bgreenb Kate's genotype
genotype of kate = bgreenb
Tom = brown eyes (mother blue eyed X father brown eyed)
bb X BB
Tom, genotype is Bb
Cross between Tom and Kate
Bb X bgreenb
Punnet square shows that:
B b
bgreen Bbgreen bgreenb
b Bb bb
phenotype ratio
2 brown: 1 green: 1 blue
25% progeny is blue eyed.