Answered

You make a Punnett square for a cross and find the results shown below.

\begin{tabular}{|c|c|c|c|}
\hline & \multicolumn{2}{|c|}{Male} \\
\hline & & [tex]$X$[/tex] & [tex]$x$[/tex] \\
\hline & [tex]$X$[/tex] & \begin{tabular}{l}
Homozygous \\
dominant
\end{tabular} & Heterozygous \\
\hline & [tex]$x$[/tex] & Heterozygous & \begin{tabular}{l}
Homozygous \\
recessive
\end{tabular} \\
\hline
\end{tabular}

Your prediction is that [tex]$\square$[/tex] of the offspring would have the dominant phenotype, and [tex]$\square$[/tex] of the offspring would have the recessive phenotype.



Answer :

Let's analyze the given Punnett square.

The Punnett square shows the genotypes of the offspring resulting from a cross between a male and female organism with alleles "X" and "x".

Here is the interpretation of the Punnett square:

| | | Male | | |
|-------|--------|------|------|------|
| | | X | x |
| Female| X | XX | Xx |
| | x | Xx | xx |

In the Punnett square:
- The top row represents the male alleles: "X" and "x".
- The left column represents the female alleles: "X" and "x".
- The cells show the possible combinations of these alleles in the offspring.

From this, we can determine the following genotypes for the offspring:
1. Homozygous dominant (XX)
2. Heterozygous (Xx)
3. Heterozygous (Xx)
4. Homozygous recessive (xx)

To predict the phenotypes:
- The dominant phenotype occurs in the presence of at least one dominant allele "X". This happens in the homozygous dominant (XX) and heterozygous (Xx) genotypes.
- The recessive phenotype occurs only in the homozygous recessive (xx) genotype.

Based on the Punnett square:
- There are 3 dominant phenotypes (1 Homozygous dominant and 2 Heterozygous).
- There is 1 recessive phenotype (Homozygous recessive).

The fractions of the offspring with each phenotype are:
- Dominant phenotype: 3 out of 4 offspring, which is [tex]\(\frac{3}{4} = 0.75\)[/tex]
- Recessive phenotype: 1 out of 4 offspring, which is [tex]\(\frac{1}{4} = 0.25\)[/tex]

Therefore:
- [tex]\(\boxed{\frac{3}{4}}\)[/tex] of the offspring would have the dominant phenotype.
- [tex]\(\boxed{\frac{1}{4}}\)[/tex] of the offspring would have the recessive phenotype.