Key Concept: Chromosomal theory of inheritance, Independent assortment
a) 9:3:3:1
[Solution Description]
According to the chromosomal theory of inheritance, genes on non-homologous chromosomes assort independently during meiosis, producing a 9:3:3:1 phenotypic ratio in the F2 generation. This is because each gene segregates independently (Mendel’s second law), and recombination does not affect their assortment since they are unlinked (recombination frequency = 50%). The solution involves understanding independent assortment and applying it to the F2 generation ratios derived from heterozygous parents (AaBb \times AaBb).
1. \textbf{Parental cross:}
\[
AABB \times aabb
\]
The F\textsubscript{1} generation produced is:
\[
AaBb
\]
2. \textbf{F\textsubscript{1} self-cross:}
\[
AaBb \times AaBb
\]
3. \textbf{Gametes produced:}
\[
AB,\; Ab,\; aB,\; ab
\]
Each gamete is produced with an equal probability of 25\% due to independent assortment.
4. \textbf{Phenotypic ratio in F\textsubscript{2} generation:}
\[
\begin{aligned}
\text{Dominant for both traits } (A\_B\_) &= \frac{9}{16} \\
\text{Dominant for first, recessive for second } (A\_bb) &= \frac{3}{16} \\
\text{Recessive for first, dominant for second } (aaB\_) &= \frac{3}{16} \\
\text{Recessive for both traits } (aabb) &= \frac{1}{16}
\end{aligned}
\]
\textbf{Final phenotypic ratio:}
\[
9 : 3 : 3 : 1
Your Answer is correct.
a) 9:3:3:1
[Solution Description]
According to the chromosomal theory of inheritance, genes on non-homologous chromosomes assort independently during meiosis, producing a 9:3:3:1 phenotypic ratio in the F2 generation. This is because each gene segregates independently (Mendel’s second law), and recombination does not affect their assortment since they are unlinked (recombination frequency = 50%). The solution involves understanding independent assortment and applying it to the F2 generation ratios derived from heterozygous parents (AaBb \times AaBb).
1. \textbf{Parental cross:}
\[
AABB \times aabb
\]
The F\textsubscript{1} generation produced is:
\[
AaBb
\]
2. \textbf{F\textsubscript{1} self-cross:}
\[
AaBb \times AaBb
\]
3. \textbf{Gametes produced:}
\[
AB,\; Ab,\; aB,\; ab
\]
Each gamete is produced with an equal probability of 25\% due to independent assortment.
4. \textbf{Phenotypic ratio in F\textsubscript{2} generation:}
\[
\begin{aligned}
\text{Dominant for both traits } (A\_B\_) &= \frac{9}{16} \\
\text{Dominant for first, recessive for second } (A\_bb) &= \frac{3}{16} \\
\text{Recessive for first, dominant for second } (aaB\_) &= \frac{3}{16} \\
\text{Recessive for both traits } (aabb) &= \frac{1}{16}
\end{aligned}
\]
\textbf{Final phenotypic ratio:}
\[
9 : 3 : 3 : 1