Answer :
We start by recognizing that the red flower trait is dominant and the white flower trait is recessive. In the F1 generation, each plant has the heterozygous genotype [tex]$Rr$[/tex]. When two [tex]$Rr$[/tex] plants are crossed, their gametes (each carrying either [tex]$R$[/tex] or [tex]$r$[/tex]) combine according to the following Punnett square:
[tex]$$
\begin{array}{c|cc}
& R & r \\\hline
R & RR & Rr \\
r & Rr & rr \\
\end{array}
$$[/tex]
This square shows the following genotypes among the offspring (F2 generation):
- [tex]$RR$[/tex] (red) occurs once.
- [tex]$Rr$[/tex] (red) occurs twice.
- [tex]$rr$[/tex] (white) occurs once.
Since both [tex]$RR$[/tex] and [tex]$Rr$[/tex] result in red flowers (because [tex]$R$[/tex] is dominant), there are [tex]$3$[/tex] plants with red flowers and [tex]$1$[/tex] plant with white flowers.
Thus, the ratio of red-flowering plants to white-flowering plants in the F2 generation is:
[tex]$$
3 : 1
$$[/tex]
[tex]$$
\begin{array}{c|cc}
& R & r \\\hline
R & RR & Rr \\
r & Rr & rr \\
\end{array}
$$[/tex]
This square shows the following genotypes among the offspring (F2 generation):
- [tex]$RR$[/tex] (red) occurs once.
- [tex]$Rr$[/tex] (red) occurs twice.
- [tex]$rr$[/tex] (white) occurs once.
Since both [tex]$RR$[/tex] and [tex]$Rr$[/tex] result in red flowers (because [tex]$R$[/tex] is dominant), there are [tex]$3$[/tex] plants with red flowers and [tex]$1$[/tex] plant with white flowers.
Thus, the ratio of red-flowering plants to white-flowering plants in the F2 generation is:
[tex]$$
3 : 1
$$[/tex]