In a plant,three dominant genes A,B,and C mus | vedclass

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(A) The production of purple flowers requires the presence of at least one dominant allele for each of the three genes ($A$,$B$,and $C$). This is a ca

Vedclass · Accepted Answer

$\frac{27}{64}$

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(A) The production of purple flowers requires the presence of at least one dominant allele for each of the three genes ($A$,$B$,and $C$). This is a case of complementary gene interaction.The $F_1$ generation obtained from the cross $AABBCC 	imes aabbcc$ will have the genotype $AaBbCc$.When $F_1$ $(AaBbCc)$ is selfed,the probability of obtaining a dominant allele for each gene independently is $\frac{3}{4}$ (since $Aa 	imes Aa$ gives $\frac{3}{4}$ dominant phenotypes).Since the genes $A$,$B$,and $C$ assort independently,the probability of the offspring having at least one dominant allele for all three genes $(A-B-C-)$ is calculated as:$P(A-B-C-) = P(A-) 	imes P(B-) 	imes P(C-) = \frac{3}{4} 	imes \frac{3}{4} 	imes \frac{3}{4} = \frac{27}{64}$.Thus,the proportion of purple-flowered plants in the $F_2$ generation is $\frac{27}{64}$.

List-$I$	List-$II$
$(A)$ Two or more alternative forms of a gene	$(I)$ Back cross
$(B)$ Cross of $F_1$ progeny with homozygous recessive parent	$(II)$ Ploidy
$(C)$ Cross of $F_1$ progeny with any of the parents	$(III)$ Allele
$(D)$ Number of chromosome sets in plant	$(IV)$ Test cross

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