Question Video: Calculating the Probability of Offspring Inheriting Sickle Cell Anemia | Nagwa Question Video: Calculating the Probability of Offspring Inheriting Sickle Cell Anemia | Nagwa

Question Video: Calculating the Probability of Offspring Inheriting Sickle Cell Anemia Biology • First Year of Secondary School

The shape of hemoglobin, the pigment in red blood cells, can demonstrate codominance. The genotypes and phenotypes are outlined in the table provided. Both parents have the genotype Hb^(A) Hb^(S). What is the probability (%) that their offspring will have sickle cell anemia?

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Video Transcript

The shape of hemoglobin, the pigment in red blood cells, can demonstrate codominance. The genotypes and phenotypes are outlined in the table provided. Both parents have the genotype Hb A Hb S. What is the probability, percent, that their offspring will have sickle cell anemia?

Dominant alleles usually completely suppress the expression of recessive alleles in heterozygotes. For example, imagine that we have two options for pea color, green and yellow. The allele for yellow peas is dominant, represented as an uppercase Y, and the allele for green peas is recessive, represented as a lowercase y. A heterozygous individual with both alleles in their genotype will produce all yellow peas because the green allele is masked by the dominant yellow allele. This is called complete dominance.

However, in codominance, one allele is not completely dominant to the other, so the phenotype produced by the heterozygous genotype is unique as a result of both alleles expressing simultaneously. The question states that an example of codominance is shown in the shape of hemoglobin, the pigment in red blood cells. In most people, red blood cells are coded for by an allele that when homozygous in a person’s genotype makes their red blood cells biconcave discs, which helps maximize oxygen transport.

This genotype, Hb A Hb A, and the phenotype it produces, is shown in the first column of the table provided by the question. A different allele coding for hemoglobin shape can code for red blood cells to look like sickles, as shown in this image on the right. The red blood cells all become flatter and are not as efficient at transporting oxygen when this allele is homozygous in a person’s genotype, resulting in a condition called sickle cell anemia.

This genotype, Hb S Hb S, and the phenotype it produces, is shown in the second column of the table provided by the question. The alleles for normal red blood cells and sickle cells are codominant to each other, which means that a heterozygous genotype would result in both kinds of cells in the phenotype.

This genotype, Hb A Hb S, and the phenotype it produces, the sickle cell trait, is shown in the final column of the table provided by the question, which tells us that this does not cause anemia under normal conditions.

The question tells us that both parents have this heterozygous genotype and so do not have sickle cell anemia themselves but do carry the sickle cell trait. We are asked to find the probability that a child of these two heterozygous parents will have sickle cell anemia. And we can use a Punnett square to help us determine the potential outcomes of this cross. First, we put the parents’ alleles in the top row and left-hand column of the Punnett square, respectively, remembering that these parents are both heterozygous and so each has one allele that codes for normal red blood cells, Hb A, and one allele that codes for sickle cells, Hb S.

The four empty squares in the Punnett square represent the potential genotypes of these two parents’ offspring, and we fill them in by taking one allele from the corresponding square in the top row and one allele from the corresponding square in the left-hand column. This is what we should see when we fill in the other squares in the Punnett square.

We are looking for the probability that the offspring will have sickle cell anemia, which is coded for by the homozygous genotype Hb S Hb S. And we can see that only one out of four of the offspring has this genotype. To work out the probability, in percent, that the offspring produced by this cross will have sickle cell anemia, we need to multiply one divided by four by 100 percent. This calculation reveals the correct answer to this question. The probability that these parents’ offspring will have sickle cell anemia is 25 percent.

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