Answer:
50%
Step-by-step explanation:
According to the given information, the genotype of the mother who is homozygous recessive for gene "A" and homozygous dominant for gene "B"= "aaBB". Likewise, the genotype of the father who is heterozygous for gene "A" and homozygous recessive for gene "B"= "Aabb".
A cross between aaBB and Aabb would produce a progeny in following genotype ratio= 1/2 AaBb : 1/2 aaBb
Therefore, there are 50% chances for this couple to have a child heterozygous for both A and B genes (AaBb).