All human blood can be \"ABO-typed\" as one of O, A, B, or AB, but the distribut

Question

All human blood can be "ABO-typed" as one of O, A, B, or AB, but the distribution of the types varies a bit among groups of people. Here is the distribution of blood types for a randomly chosen person in a country:

(a) What is the national probability of type O blood?


(b) Maria has type B blood. She can safely receive blood transfusions from people with blood types O and B. What is the probability that a randomly chosen person from this country can donate blood to Maria?

Explanation / Answer

a. For the probability distribution to be valid,

P(A) + P(B) + P(AB) + P(O) = 1

So, P(O) = 1 - 0.31 - 0.15 - 0.05 = 0.49

b. P(O) + P(B) = 0.49 + 0.15 = 0.64

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