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Proportion of colour blind children when...

Proportion of colour blind children when normal man marries a carrier woman is

A

0.25

B

0.5

C

0.75

D

1

Text Solution

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The correct Answer is:
To solve the question regarding the proportion of colorblind children when a normal man marries a carrier woman, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Genetics of Colorblindness**: - Colorblindness is an X-linked recessive trait. This means that the gene responsible for colorblindness is located on the X chromosome, and a male (XY) will express colorblindness if he inherits the affected X chromosome (Xc). 2. **Identify the Genotypes of the Parents**: - The normal man has the genotype XY (normal vision). - The carrier woman has the genotype XXc (one normal vision allele and one colorblind allele). 3. **Set Up a Punnett Square**: - Create a Punnett square to visualize the possible combinations of alleles from the parents. The male can contribute either X (normal) or Y (male chromosome), and the female can contribute either X (normal) or Xc (colorblind). | | X (from father) | Y (from father) | |----------|------------------|------------------| | X (from mother) | XX (normal daughter) | XY (normal son) | | Xc (from mother)| XcX (carrier daughter) | XcY (colorblind son) | 4. **Analyze the Offspring Genotypes**: - From the Punnett square, we can see the possible offspring: - XX: Normal daughter - XY: Normal son - XcX: Carrier daughter (normal vision) - XcY: Colorblind son 5. **Count the Proportion of Colorblind Children**: - Out of the four possible offspring, only one (XcY) is colorblind. - Therefore, the proportion of colorblind children is 1 out of 4, which can be expressed as a fraction: 1/4. 6. **Convert the Fraction to Decimal**: - The fraction 1/4 is equivalent to 0.25. 7. **Final Conclusion**: - The proportion of colorblind children when a normal man marries a carrier woman is 0.25 or 25%.
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