What's your blood type? (Part 2)

Discrete Mathematics Level pending

Jack and Rose are getting married, and the diagram above shows the pedigree of their families, indicating the blood types for all family members.

In the ABO blood group system, each person carries a pair of genes determining the red blood cell phenotype, acquired from his or her parents (one gene from father and one from mother). The O-type individuals must have 2 O-genes, resulting in no antigens on the red blood cells. The A & B-genes, on the other hand, are dominant over the O-gene: with A & O-genes, the person will have type-A, and with B & O-genes, he or she will have type-B. However, the A & B genes are not dominant over each other; that is, if one possesses both A and B-genes, the blood will be type-AB. Finally, each parent has a 50:50 chance of giving his or her child one of their 2 genes.

Under normal circumstances (no mutations or genetic diseases), what is the chance that Jack's and Rose's child will have blood type-A?

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