Question Video: Calculating the Probability, as a Percent, of a Specific Phenotype from a Dihybrid Cross | Nagwa Question Video: Calculating the Probability, as a Percent, of a Specific Phenotype from a Dihybrid Cross | Nagwa

Question Video: Calculating the Probability, as a Percent, of a Specific Phenotype from a Dihybrid Cross Biology • First Year of Secondary School

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Assume that in fruit flies, the allele for a grey body (G) is dominant to the allele for a black body (g), and the allele for normal wings (N) is dominant to the allele for small wings (n). A fly with a genotype GgNn is crossed with a fly with a genotype lowercase ggnn. What is the probability (%) that the offspring will have a black body and normal wings?

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Video Transcript

Assume that in fruit flies, the allele for a gray body, uppercase G, is dominant to the allele for a black body, lowercase g, and the allele for normal wings, uppercase N, is dominant to the allele for small wings, lowercase n. A fly with a genotype uppercase G lowercase g uppercase N lowercase n is crossed with a fly with a genotype lowercase g lowercase g lowercase n lowercase n. What is the probability, in percent, that the offspring will have a black body and normal wings?

Looking at the question, we can see that for each gene, G or N, there are two possible alleles. Uppercase and lowercase letters represent the dominant and recessive alleles, respectively. As the question asks about the inheritance of two genes and their alleles, we know that we are being asked about dihybrid inheritance.

When these two flies are crossed, their gametes will combine during fertilization. So we first need to determine the combination of alleles present in their gametes. We can do this using the FOIL method with each genotype. Each gamete needs one allele for each gene. So, for the first possible combination of alleles in the gametes, we take the first allele of each gene. Then, we take the outside alleles of each gene, followed by the inside alleles of each gene. Finally, we combine the last alleles for each gene. So we have four possible combinations of alleles that could be present in this fly’s gametes. Why don’t you pause the video and see if you can determine the possible combination of alleles in the gametes of the second fly?

Good work! Now we have the information needed to start constructing our Punnett square. Along the top of the Punnett square we will put the possible combination of alleles for the gametes of the first fly and down the side of the Punnett square the possible combination of alleles for the gametes of the second fly. To complete each cell, we take the alleles from the column head and the row head and combine them. Repeating this throughout the Punnett square gives us all the possible genotypes for an offspring born to these parents.

This question asks us to identify the offspring with a black body and normal wings. We have been told that the allele for a black body is recessive. So, for this to be expressed, we would need two copies of this allele to be present in the genotype. The allele for normal wings is dominant. So this will be expressed if one or if two copies of this allele is present in the genotype. So how many cells in our Punnett square fit this description?

There are four genotypes which would produce a fly with a black body and normal wings. Our question asks us to express the answer as a percentage. To calculate this, we divide four by the total number of possible genotypes, which is 16. Then, we multiply this answer by 100 percent. So the probability that the offspring born to these parents will have a black body and normal wings is 25 percent.

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