Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood that contains only the B antigen is called type B, blood that contains both antigens is called type AB, and blood that contains neither is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10% have type B blood, and 5% have type AB.
(a) What is the probability that a randomly chosen blood donor is type O?
(b) A recipient with type A blood may safely receive blood from a donor whose blood does not contain the B antigen. What is the probability that a randomly chosen blood donor may donate to a recipient with type A blood?
(c) If someone has the A antigen, what is the probability that they are type AB?