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    ​In a population with the ABO blood group system, if the frequency of the allele Iᴬ is 0.3, the frequency of the allele Iᴮ is 0.2, and the frequency o
    Question

    In a population with the ABO blood group system, if the frequency of the allele Iᴬ is 0.3, the frequency of the allele Iᴮ is 0.2, and the frequency of the allele i is 0.5, what would be the expected percentage of population with blood group A, considering that the population is under Hardy-Weinberg equilibrium?

    A.

    9%

    B.

    24%

    C.

    39%

    D.

    42%

    Correct option is C

    To calculate the expected percentage of individuals with blood group A, we need to apply the Hardy-Weinberg equilibrium principle.

    • The genotypes for blood group A are IAI​A and IAi

    • The frequency of IA is given as 0.3, IB is 0.2, and iii is 0.5.

    Using Hardy-Weinberg, the frequency of the genotypes is calculated as follows:

    • The frequency of IAIA (homozygous A) is (0.3)2=0.09(0.3)^2 = 0.09(0.3)2=0.09.

    • The frequency of IA​i (heterozygous A) is 2×(0.3)×(0.5)=0.302 \times (0.3) \times (0.5) = 0.302×(0.3)×(0.5)=0.30.

    Thus, the total frequency of individuals with blood group A is the sum of these two genotypes:

    Frequency of blood group A=0.09+0.30=0.39.\text{Frequency of blood group A} = 0.09 + 0.30 = 0.39.Frequency of blood group A=0.09+0.30=0.39.

    Therefore, the expected percentage of the population with blood group A is 39%.

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