5. Human blood is grouped into four types: O, A, B, and AB. The following table

Question

5. Human blood is grouped into four types: O, A, B, and AB. The following table lists the probability of these blood types for a randomly selected American. The table has missing values for the probabilities of blood types A, B, and AB . A single person is to be drawn at random. The probability of drawing an American with blood type O or A is .85 , and the probability of not drawing an A merican with blood type B is .88 . Fill in the appropriate probabilities by the question marks in the following table. Show your work below.

Political Affiliation O         A B            AB

Probability                .44     ?   ?              ?

Explanation / Answer

5. Human blood is grouped into four types: O, A, B, and AB. The following table lists the probability of these blood types for a randomly selected American. The table has missing values for the probabilities of blood types A, B, and AB . A single person is to be drawn at random. The probability of drawing an American with blood type O or A is .85 , and the probability of not drawing an American with blood type B is .88 . Fill in the appropriate probabilities by the question marks in the following table. Show your work below.

blood type                 O         A           B                AB

Probability                .44       0.41        0.12             0.03

P(O or A ) = P( O)+P( A) = 0.85 ( because P( O and A) =0)

P( A) =0.85-0.44=0.41

P( Bc)=0.88 therefore P( B) = 1- P( Bc)= 0.12

P(AB) = 1-(P(O)+P(A)+P(B))

= 1-(0.44+0.41+0.12)

=0.03

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