Question

Difficulty: EasySex Determination and Sex-Linked Traits

A woman who is a carrier for red-green colour blindness (XCXcX^C X^c) marries a man with normal colour vision (XCYX^C Y). What is the probability that any son born to this couple will be colour-blind?

  1. A
    0%0\%
  2. B
    25%25\%
  3. 50%50\%Answer
  4. D
    100%100\%

Answer

The probability that any son born to this couple will be colour-blind is 50%50\%.
A carrier mother has the genotype XCXcX^C X^c, meaning half of her eggs carry the normal allele (XCX^C) and half carry the recessive colour-blindness allele (XcX^c). All sons inherit a Y chromosome from their father and an X chromosome from their mother. Therefore, each son has a 50%50\% chance of inheriting the XcX^c chromosome and being colour-blind (XcYX^c Y).

Step-by-Step Solution

1
Determine parental genotypes and gametes
Mother (XCXcX^C X^c) produces gametes XCX^C and XcX^c in equal proportions (50%50\% each). Father (XCYX^C Y) produces gametes XCX^C and YY.
Red-green colour blindness is an X-linked recessive trait.
2
Determine genotypes of male offspring
Sons inherit the Y chromosome from their father and an X chromosome from their mother. Possible male genotypes are XCYX^C Y (normal vision) and XcYX^c Y (colour-blind).
Male offspring inherit their sex-defining Y chromosome strictly from the father.
3
Calculate the probability among sons
Out of 2 possible male genotypes (XCYX^C Y and XcYX^c Y), 1 represents a colour-blind son, giving a probability of 12=50%\frac{1}{2} = 50\%.
The question specifically asks for the probability among sons, not total offspring.

Key Concept

X-linked recessive inheritance and gender-restricted offspring probabilities
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