Problem

Solutions For An Introduction to Genetic Analysis Chapter 4 Problem 61P

Step-by-Step Solution

Solution 1

A diploid plant has three genes A, B, and C linked in the following way:

Picture 1

a) If we need to obtain a progeny of abc/abc genotype from selfing the plant Abc/aBC, both the gametes must be inherited from a crossover between A and B loci. The frequency of the abc gamete can be calculated in this way:

Therefore the frequency of the homozygous plant with abc/abc genotype would be:

b) When the plant Abc/aBC is crossed with the abc/abc plant, the progeny genotypes can be explained in the following way:

Since the parentals class includes those plants which have not experienced a crossover, their frequency can be calculated as:

Since each parental class should be represented equally:

Abc – 0.28 [half of 0.56]

aBC – 0.28 [half of 0.56]

The frequency of the ABC gamete would be:

The frequency of the ABc gamete would be:

This will also be the frequency of the other gamete abC.

Hence, the expected genotype results for 1000 progeny would be:

Abc – 280

aBC – 280

ABC – 70

Abc – 70

AbC – 120

aBc – 120

ABc – 30

abC – 30

c) Assuming 20% interference, we need to calculate the observed double crossover value:

The A-B distance:

The B-C distance:

The Parental:

Hence, for 1000 progeny, the expected genotypes are:

o Abc – 274

o aBC – 274

o ABC – 76

o Abc – 76

o AbC – 126

o aBc - 126

o ABc - 24

o abC - 24

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