The correct option is C Can be either black or brown
As per the given information, father has black hair (dominant trait) and mother has brown hair (recessive trait)
The possible trait combination for father will be: BB or Bb
The possible trait combination for the mother will be: bb. Since, both the copies of the trait are required for the expression of a recessive character.
Based on the following monohybrid cross between BB and bb, we get all Bb. This means that the all offsprings can have black hair.
Based on the following monohybrid cross between Bb and bb, we get Bb, Bb, bb and bb. This implies that the offsprings can have either brown or black hair.