Answer :
Certainly! Let's go through the problem step-by-step to determine the probabilities related to the offspring's genotypes.
### Part 1: Heterozygous Male (Ww) and Homozygous Recessive Female (ww)
- The male has the genotype Ww, meaning he has one dominant allele (W) and one recessive allele (w).
- The female has the genotype ww, meaning she has two recessive alleles.
Possible Offspring Genotypes:
To find the possible genotypes of their offspring, we can make a simple genetic cross:
1. W from Ww and w from ww results in Ww.
2. w from Ww and w from ww results in ww.
This gives us two possible genotypes for the offspring: Ww and ww.
Probability of Heterozygous Offspring (Ww):
- There is a 50% chance (1 out of 2) for the offspring to be Ww.
- Thus, the probability that the offspring is heterozygous is [tex]\( \frac{1}{2} \)[/tex] or 0.5.
### Part 2: Heterozygous (Ww) and Homozygous Dominant (WW)
- In this scenario, one parent is heterozygous (Ww), and the other is homozygous dominant (WW).
Possible Offspring Genotypes:
For this cross:
1. W from Ww and W from WW results in WW.
2. w from Ww and W from WW results in Ww.
The possible genotypes are WW and Ww.
Probability of a Homozygous Recessive Offspring (ww):
- Since neither parent carries two recessive alleles (as there is no ww combination), there is a 0% chance for homozygous recessive offspring.
- Hence, the probability of having a homozygous recessive (ww) offspring is 0.
### Conclusion:
- The probability of having a heterozygous (Ww) offspring when a heterozygous male (Ww) mates with a homozygous recessive female (ww) is 0.5 or 50%.
- The probability of having a homozygous recessive offspring when a heterozygous individual (Ww) is crossed with a homozygous dominant individual (WW) is 0%.
These are the conclusions based on understanding the genetic crosses.
### Part 1: Heterozygous Male (Ww) and Homozygous Recessive Female (ww)
- The male has the genotype Ww, meaning he has one dominant allele (W) and one recessive allele (w).
- The female has the genotype ww, meaning she has two recessive alleles.
Possible Offspring Genotypes:
To find the possible genotypes of their offspring, we can make a simple genetic cross:
1. W from Ww and w from ww results in Ww.
2. w from Ww and w from ww results in ww.
This gives us two possible genotypes for the offspring: Ww and ww.
Probability of Heterozygous Offspring (Ww):
- There is a 50% chance (1 out of 2) for the offspring to be Ww.
- Thus, the probability that the offspring is heterozygous is [tex]\( \frac{1}{2} \)[/tex] or 0.5.
### Part 2: Heterozygous (Ww) and Homozygous Dominant (WW)
- In this scenario, one parent is heterozygous (Ww), and the other is homozygous dominant (WW).
Possible Offspring Genotypes:
For this cross:
1. W from Ww and W from WW results in WW.
2. w from Ww and W from WW results in Ww.
The possible genotypes are WW and Ww.
Probability of a Homozygous Recessive Offspring (ww):
- Since neither parent carries two recessive alleles (as there is no ww combination), there is a 0% chance for homozygous recessive offspring.
- Hence, the probability of having a homozygous recessive (ww) offspring is 0.
### Conclusion:
- The probability of having a heterozygous (Ww) offspring when a heterozygous male (Ww) mates with a homozygous recessive female (ww) is 0.5 or 50%.
- The probability of having a homozygous recessive offspring when a heterozygous individual (Ww) is crossed with a homozygous dominant individual (WW) is 0%.
These are the conclusions based on understanding the genetic crosses.
