Problem

Solutions For An Introduction to Genetic Analysis Chapter 3 Problem 25P

Step-by-Step Solution

Solution 1

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.

Picture 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.

Picture 2

o If the plant is heterozygous only for one allele then a phenotypic ratio of 1:1 is obtained.

Picture 3

o If the plant is homozygous for both alleles then there will be only one phenotypic category.

Picture 5

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.

Picture 4

o If the plant is homozygous for one allele then the phenotypic ratio is 3:1:

Picture 6

o If the plant is homozygous for both alleles then there will be only one phenotypic category.

Picture 5

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