The very rare Bombay blood phenotype in humans results in blood type O because of the lack of both the A and B antigens in individuals who are of hh genotype. This genotype results in blood type O regardless of the genotype at the unlinked I locus. If a man with the genotype IAIO Hh has a child with a woman with the IAIB hh genotype, what is the probability that their first child will also have type blood B? Show your work for full credit.