Dr. G, the principal at Westside High School Academy, is worried that the students who win academic awards might also be more likely to win awards in the Fine Arts. He would like to spread out the awards. Out of the $768$ students, $128$ students have won academic awards of some sort and $48$ students have won Fine Arts awards. Eight students have won both kinds of awards. Does Dr. G have anything to worry about? Justify your answer.