To determine the chance that the offspring in the second generation will have green seeds, we examine the Punnett square for that generation.
The second generation can be represented by the offspring's genotypes:
[tex]\[
\begin{array}{|c|c|c|}
\hline
& Y & y \\
\hline
y & YY & Yy \\
\hline
y & Yy & yy \\
\hline
\end{array}
\][/tex]
We need to list the possible genotypes and count those that result in green seeds (recessive homozygous, [tex]\(yy\)[/tex]).
Possible genotypes for the second generation:
1. [tex]\(YY\)[/tex]
2. [tex]\(Yy\)[/tex]
3. [tex]\(Yy\)[/tex]
4. [tex]\(yy\)[/tex]
Out of these four genotypes, only [tex]\(yy\)[/tex] results in green seeds.
Count of offspring with [tex]\(yy\)[/tex] genotype = 1
Total number of offspring = 4
To find the probability (percentage) that the offspring will have green seeds:
[tex]\[
\text{Probability (percent)} = \left(\frac{\text{count of } yy}{\text{total number of offspring}}\right) \times 100
\][/tex]
[tex]\[
\text{Probability (percent)} = \left(\frac{1}{4}\right) \times 100 = 25\%
\][/tex]
So, there is a [tex]\( 25\% \)[/tex] chance that the offspring will have green seeds.
There is a [tex]\(25\)[/tex] \% chance that the offspring will have green seeds.
