Answer:
c. 1/8
Explanation:
Let's assume that the recessive allele "s" gives the "secretor" phenotype in the homozygous state while the dominant allele "S" is responsible for the "nonsecretor" phenotype.
According to the given information, the nonsecretor woman has a “secretor” father (ss). This makes the woman heterozygous dominant (Ss) for the trait. Likewise, the man has a “secretor” daughter (ss) from the previous relationship. Therefore, the man is also heterozygous dominant (Ss) for the trait.
A cross between two heterozygous dominant parents (Ss x Ss) would produce progeny in following ratio= 3/4 Nonsecretor (1/4 SS and 1/2 Ss): 1/4 Secretor (1/4 ss)
During each reproductive cycle, there are 1/2 chances for a couple to have a girl child (XX x XY= 1/2 XX: 1/2 XY). Therefore, the probability that their first child will be a “secretor girl”= 1/4 x 1/2= 1/8 .