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

Solution:
(a) P(A) + P(B) + P(AB) + P(O) = 1
==> 0.38 + 0.13 + 0.44 + x = 1
==> 0.95 + x = 1
==> x = 1-0.95
==> x = 0.05

(b) Here we can use the addition rule for disjoint events to calculate P(O or B).
P(O or B) = P(O) + P(B) = 0.05 + 0.13 = 0.18

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