Only if the antigens attached to the tissue cells of the donor and receiver match, the body will accept the transplanted tissue. Antigens in identical twins always match, the probability of a match in other siblings is 0.25, and the probability of the match in two people from the population at large is 0.001. Suppose that you need a kidney and you have 2 brothers and a sister.

a) If one of your three siblings offers a kidney, what is the probability that the antigens will match?

b) If all the three siblings offer a kidney, what is the probability that all three antigens will match?

c) If all the three siblings offer a kidney, what is the probability that none three antigens will match?

d) Assuming that the three donors were obtained form the population at large, what is the probability that all three antigens will match?