The genotypes and phenotypes in a dihybrid ratio can be obtained using a punnett square. The punnett square shows the dihybrid ratio of 9:3:3:1.
a) The number of genotypes which are present in the 16 squares of the grid is 9. They are:
• R/R;Y/Y
• R/R;Y/y
• R/r;Y/y
• R/r;Y/Y
• R/R;y/y
• R/r;y/y
• r/r;y/y
• r/r;Y/y
• r/r;Y/Y
b) The genotypic ratio which is underlying the 9:3:3:1 ratio is: 1:2:4:2:1:2:1:2:1
1 - R/R;Y/Y
2 - R/R;Y/y
4 - R/r;Y/y
2 -R/r;Y/Y
1 -R/R;y/y
2 -R/r;y/y
1 - r/r;y/y
2 - r/r;Y/y
1 - r/r;Y/Y
c) To devise a simple formula for the calculation of the number of phenotypes and the number of genotypes in monohybrid, dihybrid and trihybrid crosses, we can tabulate the data.
Number of genes | Number of genotypes | Number of phenotypes |
1 | 3 | 2 |
2 | 9 | 4 |
3 | 27 | 8 |
We can write 3, 9 and 27 as 31, 32 and 33 and 2, 4 and 8 can be written as 21, 22 and 23.
Hence the simple formula would be:
For genotypes: 3n where n is the number of genes
For phenotypes: 2n where n is the number of genes
d) To determine the genotype of a specific plant with round yellow peas we can use two methods:
• Testcross: We cross the plant with a homozygous recessive plant with green wrinkled peas. The F2 progeny will show the alleles present in the experimental plant.
o If the experimental plant is heterozygous for both alleles you will get a 1:1:1:1 phenotypic ratio.
o If the plant is heterozygous only for one allele then a phenotypic ratio of 1:1 is obtained.
o If the plant is homozygous for both alleles then there will be only one phenotypic category.
• Selfing: we cross the plant with itself to get the F2 progeny.
o If the plant is heterozygous for both alleles then we get a 9:3:3:1 ratio.
o If the plant is homozygous for one allele then the phenotypic ratio is 3:1:
o If the plant is homozygous for both alleles then there will be only one phenotypic category.