High School

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If a heterozygous male with the genotype [tex]Ww[/tex] is mated with a homozygous recessive female of genotype [tex]ww[/tex], there is a chance that [tex]\square[/tex] of the offspring will be heterozygous.

[tex]
\[
\begin{array}{|c|c|c|}
\hline
& W & w \\
\hline
w & Ww & ww \\
\hline
w & Ww & ww \\
\hline
\end{array}
\]
[/tex]

If the heterozygous [tex]Ww[/tex] is crossed with a homozygous dominant [tex]WW[/tex], then the probability of having a homozygous recessive offspring is [tex]\square[/tex].

[tex]
\[
\begin{array}{|c|c|c|}
\hline
& W & W \\
\hline
W & WW & WW \\
\hline
W & WW & WW \\
\hline
\end{array}
\]
[/tex]

Answer :

Certainly! Let's go through this problem step by step:

Part 1: Crossing a Heterozygous Male (Ww) with a Homozygous Recessive Female (ww)

1. Genotypes of Parents:
- The male has the genotype Ww (one dominant allele W, one recessive allele w).
- The female is homozygous recessive with the genotype ww (two recessive alleles).

2. Possible Offspring Genotypes:
- The male can contribute either a W or a w allele to the offspring.
- The female can only contribute a w allele.

3. Offspring Combinations:
- If the male contributes W and the female contributes w: The offspring has genotype Ww.
- If the male contributes w and the female contributes w: The offspring has genotype ww.

So, the possible genotype outcomes for offspring are Ww (heterozygous) and ww (homozygous recessive).

4. Probability of Heterozygous Offspring (Ww):
- There are four possible offspring outcomes in this cross: Ww, Ww, ww, ww.
- Two out of these four outcomes are heterozygous (Ww).

Therefore, the probability that an offspring will be heterozygous is [tex]\( \frac{2}{4} = 0.5 \)[/tex] or 50%.

Part 2: Crossing a Heterozygous (Ww) with a Homozygous Dominant (WW)

1. Genotypes of Parents:
- One parent is heterozygous with genotype Ww.
- The other parent is homozygous dominant with genotype WW.

2. Possible Offspring Genotypes:
- The heterozygous parent (Ww) can contribute either a W or a w allele.
- The homozygous dominant parent (WW) can only contribute a W allele.

3. Offspring Combinations:
- If both parents contribute a W: The offspring has genotype WW.
- If one parent contributes W and the other contributes w: The offspring has genotype Ww.

So, possible genotype outcomes for offspring are WW and Ww.

4. Probability of Homozygous Recessive Offspring (ww):
- None of the offspring combinations in this cross can result in the genotype ww.

Therefore, the probability that an offspring will be homozygous recessive is 0%.

So, to sum up:
- The chance that offspring from the first cross will be heterozygous is 50%.
- The probability of having a homozygous recessive offspring from the second cross is 0%.