Answer: Mary's parents' genotype are Aa and AA.
Explanation: Suppose the recessive blood disorder has a genotype of aa.
Mary's husband's genotype, as he has the trait, is aa. Both of their children also have it, so they are aa as well. To have a child with this genotype, Mary must have been a carrier, so her genotype is Aa.
Now, for Mary to be a carrier and since none of her siblings has the disorder, one of her parents must be heterozygous for the trait (Aa), while the other is homozygous for the trait (Aa).
In other words, Mary's parents' genotypes are Aa and AA.