Th e following probability matrix contains the UK national distribution of blood groups as reported by the National Blood Service. A UK citizen is randomly selected. Blood type (ABO blood system) RhD factor O A B AB Positive .37 .35 .08 .03 .83 Negative .07 .07 .02 .01 .17 .44 .42 .1 .04 1

a. What is the probability that the person’s blood is type A and negative?

b. What is the probability that the person’s blood is not type O and negative?

c. Suppose the chosen person is known to be negative. What is the probability that the person’s blood is type A?

d. Suppose the chosen person’s blood is known not to be negative. What is the probability that the person’s blood is not type O?

e. Suppose the chosen person’s blood is known to be negative. What is the probability that the person’s blood is neither type A nor type O?