To determine the probability of the resulting offspring being black when crossing a brown fruit fly with a black fruit fly, we need to analyze the genotype of each parent.
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The brown fruit fly can be either homozygous (BB) or heterozygous (Bb). The black fruit fly must be homozygous recessive (bb) since it expresses the black body phenotype.
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If we assume the brown parent is heterozygous (Bb), we can set up the following Punnett square:
B | b
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b | Bb | bb
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b | Bb | bb
From the Punnett square, we have:
- 2 offspring with genotype Bb (brown body)
- 2 offspring with genotype bb (black body)
This means:
- Probability of brown body offspring = 2 out of 4 = 50%
- Probability of black body offspring = 2 out of 4 = 50%
Thus, if the brown parent is heterozygous (Bb), the probability of getting a black offspring (bb) is 50%.
- If we assume the brown parent is homozygous (BB), the Punnett square looks like this:
B | B
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b | Bb | Bb
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b | Bb | Bb
From this square, we have:
- 4 offspring with genotype Bb (all brown body)
- 0 offspring with genotype bb (no black body)
Thus, if the brown parent is homozygous (BB), the probability of getting a black offspring is 0%.
Since we do not know whether the brown parent is homozygous or heterozygous, the best answer considering the brown parent is likely to be heterozygous is:
A. 50%