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Answer :
Certainly! Let's go through each part of the problem step-by-step.
### Part 1: Probability of Heterozygous Offspring (Ww)
1. Parental Genotypes:
- The male is heterozygous with genotype Ww.
- The female is homozygous recessive with genotype ww.
2. Possible Offspring Genotypes:
To find the possible genotypes of the offspring, we perform a Punnett square analysis:
- One parent contributes the alleles W or w.
- The other parent contributes the allele w.
```
| | W | w |
|---|----|----|
| w | Ww | ww |
| w | Ww | ww |
```
3. Results:
- We have two Ww and two ww genotypes from the square.
4. Probability Calculation:
- Total possible outcomes: 4 (Ww, Ww, ww, ww)
- Number of heterozygous outcomes (Ww): 2
Therefore, the probability of the offspring being heterozygous (Ww) is [tex]\((2/4) \times 100 = 50\%\)[/tex].
### Part 2: Probability of Homozygous Recessive Offspring (ww)
1. Parental Genotypes:
- The first parent is homozygous dominant with genotype WW.
- The second parent is also homozygous dominant with genotype WW.
2. Possible Offspring Genotypes:
- Each parent contributes a W allele, no matter what.
- The resulting genotypes are:
```
| | W | W |
|---|----|----|
| W | WW | WW |
| W | WW | WW |
```
3. Results:
- All offspring have the genotype WW.
4. Probability Calculation:
- Total possible outcomes: 4 (WW, WW, WW, WW)
- Number of homozygous recessive outcomes (ww): 0
Thus, the probability of having a homozygous recessive (ww) offspring is [tex]\((0/4) \times 100 = 0\%\)[/tex].
In conclusion, 50% of the offspring will be heterozygous (Ww) in the first scenario, and there is a 0% chance of having a homozygous recessive offspring (ww) in the second scenario.
### Part 1: Probability of Heterozygous Offspring (Ww)
1. Parental Genotypes:
- The male is heterozygous with genotype Ww.
- The female is homozygous recessive with genotype ww.
2. Possible Offspring Genotypes:
To find the possible genotypes of the offspring, we perform a Punnett square analysis:
- One parent contributes the alleles W or w.
- The other parent contributes the allele w.
```
| | W | w |
|---|----|----|
| w | Ww | ww |
| w | Ww | ww |
```
3. Results:
- We have two Ww and two ww genotypes from the square.
4. Probability Calculation:
- Total possible outcomes: 4 (Ww, Ww, ww, ww)
- Number of heterozygous outcomes (Ww): 2
Therefore, the probability of the offspring being heterozygous (Ww) is [tex]\((2/4) \times 100 = 50\%\)[/tex].
### Part 2: Probability of Homozygous Recessive Offspring (ww)
1. Parental Genotypes:
- The first parent is homozygous dominant with genotype WW.
- The second parent is also homozygous dominant with genotype WW.
2. Possible Offspring Genotypes:
- Each parent contributes a W allele, no matter what.
- The resulting genotypes are:
```
| | W | W |
|---|----|----|
| W | WW | WW |
| W | WW | WW |
```
3. Results:
- All offspring have the genotype WW.
4. Probability Calculation:
- Total possible outcomes: 4 (WW, WW, WW, WW)
- Number of homozygous recessive outcomes (ww): 0
Thus, the probability of having a homozygous recessive (ww) offspring is [tex]\((0/4) \times 100 = 0\%\)[/tex].
In conclusion, 50% of the offspring will be heterozygous (Ww) in the first scenario, and there is a 0% chance of having a homozygous recessive offspring (ww) in the second scenario.
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