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------------------------------------------------ If a heterozygous male with the genotype Ww is mated with a homozygous recessive female of genotype ww, what is the probability that the offspring will be heterozygous?

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

If the heterozygous Ww is crossed with a homozygous dominant WW, what is the probability of having a homozygous recessive offspring?

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

Sure! Let's go through the genetics problem step-by-step.

### Part 1: Heterozygous male (Ww) x Homozygous recessive female (ww)

1. Parent Genotypes:
- Male: Ww (heterozygous)
- Female: ww (homozygous recessive)

2. Possible Offspring Genotypes:
- When you create a Punnett square, you combine each parent's alleles to see all possible genotypes for the offspring.
- Male can pass on either W or w.
- Female can pass on only w.

Punnett Square:

```
| | w | w |
|---|----|----|
| W | Ww | Ww |
| w | ww | ww |
```

3. Offspring Genotypes:
- 50% will be Ww (heterozygous)
- 50% will be ww (homozygous recessive)

4. Heterozygous Offspring Chance:
- Therefore, there is a 50% chance (or 1/2) that the offspring will be heterozygous (Ww).

### Part 2: Heterozygous male (Ww) x Homozygous dominant (WW)

1. Parent Genotypes:
- Heterozygous: Ww
- Homozygous dominant: WW

2. Possible Offspring Genotypes:
- Male can pass on either W or w.
- Female can pass on only W.

Punnett Square:

```
| | W | W |
|---|----|----|
| W | WW | WW |
| w | Ww | Ww |
```

3. Offspring Genotypes:
- 50% will be WW (homozygous dominant)
- 50% will be Ww (heterozygous)

4. Homozygous Recessive Offspring Chance:
- There is a 0% chance of getting ww since none of the offspring can be homozygous recessive.

So, to summarize:
- There is a 50% chance for the offspring to be heterozygous (Ww) when a heterozygous male (Ww) is mated with a homozygous recessive female (ww).
- There is a 0% chance of having a homozygous recessive (ww) offspring when the heterozygous male (Ww) is mated with a homozygous dominant female (WW).