Final answer:
The possible blood types of the offspring are A, B, AB, and O. The probability of the child having blood type AB is 25% and the probability of having blood type O is also 25%.
Step-by-step explanation:
In the given scenario, the mother is heterozygous for blood type B (genotype IBi) and the father is blood type AB (genotype IAIB). Using a Punnett square, we can determine the possible blood types of their offspring:
IAIBiIAIAIAIAIBIAiiIAiIBiii
The possible blood types of their offspring are A, B, AB, and O. The probability of their child having blood type AB is 1/4 or 25%. The probability of their child having blood type O is also 1/4 or 25%.