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16 February, 17:51

Suppose that the proportions of blood phenotypes in a particular population are as follows: A B AB O 0.48 0.13 0.03 0.36 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)

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  1. 16 February, 20:09
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    P (O and O) = 0.1296

    P=0.3778

    Step-by-step explanation:

    Given that

    blood phenotypes in a particular population

    A=0.48

    B=0.13

    AB=0.03

    O=0.36

    As we know that when A and B both are independent that

    P (A and B) = P (A) X P (B)

    The probability that both phenotypes O are in independent:

    P (O and O) = P (O) X P (O)

    P (O and O) = 0.36 X 0.36 = 0.1296

    P (O and O) = 0.1296

    The probability that the phenotypes of two randomly selected individuals match:

    Here four case are possible

    So

    P=P (A and A) + P (B and B) + P (AB and AB) + P (O and O)

    P=0.48 x 0.48 + 0.13 x 0.13 + 0.03 x 0.03 + 0.36 x 0.36

    P=0.3778
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