Blood types: 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. A certain blood bank has blood from a total of 1200 donors. Of these, 570 have type O blood, 440 have type A, 125 have type B, and 65 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?