Statistics Homework Solutions
Problem
#5518

Multiplication Rule for Independent Event/General Addition rule for any two events

The distribution of blood types among white type Americans is approximately as follows: 37% type A, 13% type B, 44% type O, and 6% type AB. Suppose that the blood types of married couples are independant and that both the husband and the wife follow this distribution.
a)An individual with type B blood can safely receive transfusions only from persons with type B or type O blood.  What is the probability that the husband of a woman with type B blood is an acceptable blood donor for her?
b)What is the probability that in a randomly chosen couple the wife has type B blood and the husband has type A?
c)What is the probability that one of a randomly chosen couple has type A blood and the other has type B?
d)What is the probability that at least one of a randomly chosen couple has type O blood?

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