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: Blood type A B AB O National probability 0.33 0.11 0.03 ? (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

For any probability distribution to be valid, sum of all probabilities should equal 1.

Hence, P(O) = 1 - P(A) - P(B) - P(AB)

a. P(O) = 1 - 0.33 - 0.11 - 0.03 = 0.53

b. P(O or B) = P(O) + P(B) = 0.53 + 0.11 = 0.64

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