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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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