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If a heterozygous male with the genotype Ww is mated with a homozygous recessive female of genotype ww, there is a chance that the offspring will be heterozygous.

[tex]\square[/tex] of 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]

To solve this question involving genetics, we're looking at a monohybrid cross to determine the probability of offspring being heterozygous (Ww).

1. Identify Parent Genotypes:
- The male has a genotype Ww, meaning he has one dominant allele (W) and one recessive allele (w).
- The female is homozygous recessive with a genotype ww, meaning she has two recessive alleles.

2. Predict Offspring Genotypes:
- We use a Punnett square to help visualize the possible genotypes of the offspring.
- Place each allele from the male parent along the top and each allele from the female parent along the side of the Punnett square.

3. Fill in the Punnett Square:

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

- When you fill the square, you combine the alleles from the top (male) and the side (female) for each box.

4. Analyze Offspring Genotypes:
- From the Punnett square, the possible genotypes of the offspring are:
- 2 boxes with Ww (heterozygous)
- 2 boxes with ww (homozygous recessive)

5. Determine Probability:
- There are 4 possible outcomes.
- Out of these, 2 are heterozygous (Ww).
- Therefore, the probability that an offspring will be heterozygous is [tex]\( \frac{2}{4} \)[/tex], which simplifies to 0.5.

6. Calculate Percentage:
- Convert the probability to a percentage by multiplying by 100.
- [tex]\( 0.5 \times 100 = 50\%\)[/tex].

So, 50% of the offspring will be heterozygous.