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?
Step 1 of 3:
It is given that the blood containing only the A antigen is called type A and probability of type A blood is 35%. That is P(A)=0.35.
Blood containing only the B antigen is called type B and probability of type B is 10%. That is P(B)=0.1.
Blood containing both A and B antigen is called type AB and probability of type AB is 5%.
Blood containing neither antigen is called type O.