On the planet Trogus, the population of Trogites have an
autosomal gene, HDZ, with two alleles, T and t. T is dominant to t.
Individuals with the T allele in their genotype show a propensity
for sorbet, while the remainder prefer ice cream. In multiple
population studies, 60% of individuals with the TT genotype prefer
sorbet, 25% of Tt individuals prefer sorbet, and 5% of tt
individuals prefer sorbet.
In an F1 cross of Tt x Tt genotyped individuals, among the F2
population of individuals who prefer ice cream, what is the
probability that a random individual has the TT genotype?
A. 0.333.
B. 0.995.
C. 0.667.
D. 0.001
E. 0.140.
option E is correct 0.140
explanation
Parental cross: Tt X Tt
Progeny: TT Tt Tt tt
Assume that total population size = 100
So,
TT = 25; 40% 0f TT individuals prefer ice cream = 10 individuals
Tt = 50; 75% 0f Tt individuals prefer ice cream = 37.5 individuals
tt = 25; 95% 0f tt individuals prefer ice cream = 23.75 individuals
Total individuals that prefer sorbet = 10 + 37.5 + 23.75 = 71.25
Now, we need to calculate the probability that a random individual is TT
71.25 -----> 100
10 -----> X
X = 10 X 100/71.25
= 14.03%
= 0.140
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