Question

Difficulty: MediumMendel's First Law and Monohybrid Inheritance

In guinea pigs, the allele for a rough coat (RR) is completely dominant over the allele for a smooth coat (rr). A monohybrid cross is performed between two heterozygous rough-coated parents (Rr×RrRr \times Rr). What is the expected ratio of homozygous dominant individuals to heterozygous individuals among the offspring possessing the rough coat phenotype?

  1. 1:21 : 2Answer
  2. B
    3:13 : 1
  3. C
    1:31 : 3
  4. D
    1:11 : 1

Answer

The expected ratio of homozygous dominant individuals to heterozygous individuals among the rough-coated offspring is 1 : 2.
In a cross between two heterozygous parents (Rr×RrRr \times Rr), the expected offspring genotypic breakdown is 1RR:2Rr:1rr1\,RR : 2\,Rr : 1\,rr. The rough coat phenotype comprises both the 1RR1\,RR and 2Rr2\,Rr individuals. Comparing homozygous dominant (RRRR) to heterozygous (RrRr) within this rough phenotype class gives a ratio of 1:21 : 2.

Step-by-Step Solution

1
Determine the parental genotypes and set up the monohybrid cross.
The cross between two heterozygous parents is represented as Rr×RrRr \times Rr.
Both parents carry one dominant allele (RR) and one recessive allele (rr).
2
Determine the genotypic ratio of the F1 generation using Mendel's Law of Segregation.
The resulting offspring genotypes are 1RR:2Rr:1rr1\,RR : 2\,Rr : 1\,rr.
Gametes segregate independently during meiosis, giving a 25%25\% chance for RRRR, 50%50\% chance for RrRr, and 25%25\% chance for rrrr.
3
Identify the subset of offspring that display the rough coat phenotype.
Rough-coated offspring include genotypes RRRR (homozygous dominant) and RrRr (heterozygous), totaling 33 out of 44 expected outcomes.
Because allele RR is completely dominant, both RRRR and RrRr express the rough coat phenotype.
4
Calculate the ratio of homozygous dominant (RRRR) to heterozygous (RrRr) within the rough-coated phenotype group.
Ratio of RR:Rr=1:2RR : Rr = 1 : 2.
For every 11 homozygous dominant (RRRR) rough-coated individual, there are 22 heterozygous (RrRr) rough-coated individuals.

Key Concept

Mendel's Law of Segregation and Monohybrid Genotypic Ratios
Estimated Time:1m 0s
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