Genes A B and C are linked on a chromosome and found in the
Genes A, B, and C are linked on a chromosome and found in the order A-B-C. Genes A and B recombine with a frequency of 5%, and genes B and C recombine at a frequency of 22%. For the cross a + b + c /abc + × abc / abc, predict the frequency of progeny. Assume interference is zero.
-Predict the frequency of a+b+c progeny.
-Predict the frequency of abc+ progeny.
-Predict the frequency of a+ bc+ progeny.
-Predict the frequency of ab+c progeny.
-Predict the frequency of a+b+c+ progeny.
-Predict the frequency of abc progeny.
-Predict the frequency of a+bc progeny.
-Predict the frequency of ab+c+ progeny.
Solution
Recombination frequency between A and B = 5% = 0.05
Recombination frequency between B and C = 22% = 0.22
Parental genotype: a+b+c / abc+ and abc/abc.
Without recombination 50% of the progenies will have a+b+c / abc and the remaining 50% progenies will have abc+ / abc genotypes.
A) To produce a+b+c progeny, there is no need for recombination. Because it is already present in parent genotype. So,
Probability of having a+b+c progeny = (1-recombination between A and B)(1-recombination between B and C)/2
= (1-0.05)(1-0.22)/2 = (0.95*0.78)/2 = 0.741/2 = 0.3705
Probability of having a+b+c progeny = 0.3705
B) To produce abc+ progeny, there is no need for recombination. Because it is already present in parent genotype. So,
Probability of having abc+ progeny = (1-recombination between A and B)(1-recombination between B and C)/2
= (1-0.05)(1-0.22)/2 = (0.95*0.78)/2 = 0.741/2 = 0.3705
Probability of having abc+ progeny = 0.3705
C) To produce a+bc+ progeny, there is should be recombination between A and B alone. So,
Probability of having a+bc+ progeny = (recombination between A and B)(1-recombination between B and C)/2
= (0.05)(1-0.22)/2 = (0.05*0.78)/2 = 0.039/2 = 0.0195
Probability of having a+bc+ progeny = 0.0195
D) To produce ab+c progeny, there is should be recombination between A and B alone. So,
Probability of having ab+c progeny = (recombination between A and B)(1-recombination between B and C)/2
= (0.05)(1-0.22)/2 = (0.05*0.78)/2 = 0.039/2 = 0.0195
Probability of having ab+c progeny = 0.0195
E) To produce a+b+c+ progeny, there is should be recombinations between B and C alone. So,
Probability of having a+b+c+ progeny = (1-recombination between A and B)(recombination between B and C)/2
= (1-0.05)(0.22)/2 = (0.95*0.22)/2 = 0.209/2 = 0.1045
Probability of having a+b+c+ progeny = 0.1045
F) To produce abc progeny, there is should be no recombinations. Because it is already present in parent. So,
Probability of having abc progeny = (1-recombination between A and B)(1-recombination between B and C)/2
= (1-0.05)(1-0.22)/2 = (0.95*0.78)/2 = 0.741/2 = 0.3705
Probability of having abc progeny = 0.3705
G) To produce a+bc progeny, there is should be recombinations between A and B AND B and C. So,
Probability of having a+bc progeny = (recombination between A and B)(recombination between B and C)/2
= (0.05)(0.22)/2 = 0.011/2 = 0.0055
Probability of having a+bc progeny = 0.0055
H) To produce ab+c+ progeny, there is should be recombinations between A and B AND B and C. So,
Probability of having ab+c+ progeny = (recombination between A and B)(recombination between B and C)/2
= (0.05)(0.22)/2 = 0.011/2 = 0.0055
Probability of having ab+c+ progeny = 0.0055

