The correct option is A 50 %
According to question, Mrs Verma has an autosomal gene pair 'Bb' and she contains a x-linked gene 'd'.
Sex chromosome of human female = XX
Here, 'd' is a X-linked gene and the human female contains two X chromosome. Hence, the chances of gametes that contain Bd genes will be 50% or 1/2 and bd will also be 50% or 1/2.
So, the correct answer is "option A".