calculate the possibility that mother being a carrier of hemophilia with B blood group and healthy father with AB blood group can have an affected son with A blood group. give proper genotypes and crosses

Mother would have to be BO, so child has a chance of A phenotype. Use a Punnett Square.

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Since hemophilia is an X-linked gene, what is the chance of getting the hemophila gene from mom and the Y-chromosome from dad?

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.