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 antigen is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10% have type B, 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?
(a) P(O)=1?P(not O)
=1?[P(A) + P(B) + P(AB)]
=1?[0.35 + 0.10 + 0.05]
=0.50
(b) P(does not contain B)=1?P(contains B)
=1?[P(B) + P(AB)]
=1?[0.10 + 0.05]
=0.85
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