6. People can only have one of 4 different blood types in the population: A, B,

Question

6. People can only have one of 4 different blood types in the population: A, B, AB, or O. The probability of having O blood type equals 0.44; A equals 0.41, B equals 0.10, and AB equals 0.05.

What is the probability of randomly selecting: a. a person with either O or A or B blood type? b. a person with neither O nor A nor B blood type? c. a person with O and A blood type? d. two people with A blood type? e. one person with A blood type and another person with B blood type? f. a person with B blood type given another person was already selected with A blood type?

Explanation / Answer

a) P(Either O or A or B) = 1 - P(AB) = 1 - 0.05 = 0.95

b) P(Neither O nor A nor B) = P(AB) = 0.05

c) P(O and A) = 0

d) P(Two people with A blood type) = 0.41*0.41 = 0.1681

e) P(One person with A and another person with B) = 0.41*0.10 + 0.10*0.41 = 0.082

f) P(Person with B | Another person with A) = P(Person with B) = 0.10

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