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. As per axioms of probabiility we know that SumP(xi)=1

P(Type O Blood)=1-0.31-0.15-0.005=0.49

b. Here we need to find P(O or B) as we can see events are disjoint we can use rule for disjoint events and find

P(O or B)=P(O)+P(B)=0.49+0.15=0.64

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