Step 1: Understanding the inheritance of colour blindness.
Colour blindness is a sex-linked recessive trait carried on the X chromosome. In this case, the mother is a carrier of colour blindness (X^C X), meaning one of her X chromosomes carries the colour blindness gene, while the other carries the normal vision gene. The father has normal vision (XY), meaning his X chromosome carries the normal vision gene and his Y chromosome determines male sex.
Step 2: Determining possible combinations.
The mother can pass on either her X^C chromosome (carrying the colour blindness gene) or her normal X chromosome (X). The father will pass on either his X chromosome or his Y chromosome. The possible combinations for their sons (who must inherit the Y chromosome from their father) are:
- X^C (from mother) and Y (from father) → Colour blind son.
- X (from mother) and Y (from father) → Normal vision son.
Step 3: Probability calculation.
Since the mother has a 50% chance of passing on the X^C chromosome and a 50% chance of passing on the normal X chromosome, the probability of their son inheriting colour blindness is 50%.
Final Answer: 50%.