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A pea plant with genotype [tex]PP[/tex] (purple flowers) mates with a plant with the genotype [tex]pp[/tex] (white flowers). The dominant allele [tex]P[/tex] codes for purple flowers. The possibility that the offspring will have purple flowers is [tex]\square[/tex]. If an offspring from this cross mates with a [tex]pp[/tex], the possibility of homozygous dominant genotype for the flowers will be [tex]\square[/tex].

[tex]\[
\begin{tabular}{|c|c|c|}
\hline & $P$ & $P$ \\
\hline $p$ & $P p$ & $P p$ \\
\hline $p$ & $P p$ & $P p$ \\
\hline
\end{tabular}
\][/tex]

[tex]\[
\begin{tabular}{|c|c|c|}
\hline & $P$ & $p$ \\
\hline $p$ & $P p$ & $p p$ \\
\hline $p$ & $P p$ & $p p$ \\
\hline
\end{tabular}
\][/tex]



Answer :

To solve this problem, let's break it down into two parts:

1. Possibility that the offspring from a PP x pp cross will have purple flowers:

- Genotype of parents:
- One parent has the genotype PP (homozygous dominant for purple flowers).
- The other parent has the genotype pp (homozygous recessive for white flowers).

- Cross result:
- When we cross PP with pp, all offspring will receive one allele from each parent, resulting in the genotype Pp for all offspring.
- Since the P allele is dominant over the p allele, all offspring will have purple flowers.

- Conclusion:
- The possibility that the offspring will have purple flowers is 100%.

2. Possibility of homozygous dominant genotype (PP) for an offspring from a Pp x pp cross:

- Genotype of parents:
- One offspring from the first cross has the genotype Pp.
- This Pp offspring mates with another plant that has the genotype pp.

- Punnett Square for Pp x pp:

[tex]\[ \begin{tabular}{|c|c|c|} \hline & P & p \\ \hline p & Pp & pp \\ \hline p & Pp & pp \\ \hline \end{tabular} \][/tex]

- Analysis of results:
- The possible offspring genotypes are: Pp (purple flowers) and pp (white flowers).
- However, there is no possibility for an offspring with a genotype of PP (homozygous dominant) from this cross.

- Conclusion:
- The possibility of homozygous dominant genotype (PP) for the flowers is 0%.

Putting it all together:
- The possibility that the offspring will have purple flowers from the first cross is 100%.
- The possibility of homozygous dominant genotype for the flowers in the second cross is 0%.