(14) All human blood can be typed as one of O, A, B, or AB, but thedistribution

Question

(14) All human blood can be typed as one of O, A, B, or AB, but thedistribution of the types varies a bit with race. Here is thedistribution of the blood type of a randomly chosen blackAmerican:

Blood type     O                    A                    B                    AB
Probability     0.49                0.27                0.20                ?

(a)   What is the probability of type AB blood? Why?


(b) Maria has type B blood. She can safely receive bloodtransfusions from people with blood types O and B. What is theprobability that a randomly chosen black American can donate bloodto Maria?
  

Explanation / Answer

a) The blood type events are mutually exclusive and must add to 1.Thus Pr(AB) = .04 b) .49 + .20 = .69

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