Answer :
Let's go through the problem step-by-step for both genetic crosses.
### First Genetic Cross:
1. Parent Genotypes:
- Heterozygous male: [tex]\( Ww \)[/tex]
- Homozygous recessive female: [tex]\( ww \)[/tex]
2. Possible Offspring Genotypes:
- When the male [tex]\( Ww \)[/tex] mates with the female [tex]\( ww \)[/tex], the offspring could be either:
- [tex]\( Ww \)[/tex] (heterozygous)
- [tex]\( ww \)[/tex] (homozygous recessive)
3. Probability Calculation:
- There are two possible genotypes for the offspring: [tex]\( Ww \)[/tex] and [tex]\( ww \)[/tex].
- Out of these, one of them is [tex]\( Ww \)[/tex].
- Therefore, the probability that an offspring will be heterozygous ([tex]\( Ww \)[/tex]) is [tex]\( \frac{1}{2} \)[/tex] or 50%.
### Second Genetic Cross:
1. Parent Genotypes:
- Heterozygous: [tex]\( Ww \)[/tex]
- Homozygous dominant: [tex]\( WW \)[/tex]
2. Possible Offspring Genotypes:
- From this mating, the possible offspring genotypes are:
- [tex]\( WW \)[/tex] (homozygous dominant)
- [tex]\( Ww \)[/tex] (heterozygous)
3. Probability Calculation:
- Both possible offspring genotypes ([tex]\( WW \)[/tex] and [tex]\( Ww \)[/tex]) are not homozygous recessive.
- Therefore, the probability that an offspring will be homozygous recessive ([tex]\( ww \)[/tex]) is 0%.
In summary:
- There is a 50% chance that the offspring from the first cross will be heterozygous.
- There is a 0% chance of having a homozygous recessive offspring from the second cross.
### First Genetic Cross:
1. Parent Genotypes:
- Heterozygous male: [tex]\( Ww \)[/tex]
- Homozygous recessive female: [tex]\( ww \)[/tex]
2. Possible Offspring Genotypes:
- When the male [tex]\( Ww \)[/tex] mates with the female [tex]\( ww \)[/tex], the offspring could be either:
- [tex]\( Ww \)[/tex] (heterozygous)
- [tex]\( ww \)[/tex] (homozygous recessive)
3. Probability Calculation:
- There are two possible genotypes for the offspring: [tex]\( Ww \)[/tex] and [tex]\( ww \)[/tex].
- Out of these, one of them is [tex]\( Ww \)[/tex].
- Therefore, the probability that an offspring will be heterozygous ([tex]\( Ww \)[/tex]) is [tex]\( \frac{1}{2} \)[/tex] or 50%.
### Second Genetic Cross:
1. Parent Genotypes:
- Heterozygous: [tex]\( Ww \)[/tex]
- Homozygous dominant: [tex]\( WW \)[/tex]
2. Possible Offspring Genotypes:
- From this mating, the possible offspring genotypes are:
- [tex]\( WW \)[/tex] (homozygous dominant)
- [tex]\( Ww \)[/tex] (heterozygous)
3. Probability Calculation:
- Both possible offspring genotypes ([tex]\( WW \)[/tex] and [tex]\( Ww \)[/tex]) are not homozygous recessive.
- Therefore, the probability that an offspring will be homozygous recessive ([tex]\( ww \)[/tex]) is 0%.
In summary:
- There is a 50% chance that the offspring from the first cross will be heterozygous.
- There is a 0% chance of having a homozygous recessive offspring from the second cross.
