If brown eye colour is dominant over Blue , the chances of a blue eyed child between Blue eyed man and Brown eyed daughter of a blue eyed women is

The correct option is C $50\%$
In the given problem, brown eye (BB) colour is dominant over blue eye (bb) colour. The brown eyed daughter of blue eyed (bb) women will have genotype Bb as recessive gene is inherited from mother. If blue eyed (bb) man marries brown eyed (Bb) female, the offsprings will be brown eyed (Bb) or blue eyed (bb) in the ratio of 1:1. This is because offsprings will get only one type of recessive gene from father. Hence, the chances of a blue eyed child of this couple is 50%.

Thus, the correct answer is option C.