C knows the answer by deducing D is not yelling out the answer.tvb now,tvbnow,bttvb; D G1 z7 S: Q8 v
That means D is not sure the answer by seeing one white and one black." Q% e: y8 R9 C9 I
C saw B is wearing the white, hence he is wearing the black
C, because he saw B's hat is white and he knows D can see the color of B's and his hat. If B and his hat has the same color, D would speak out. But D kept silent, so C knows that his hat's color must be different.