Natural Sciences Social Sciences Humanities Women 62 113 80 Men 83 58 54 a.) In general, what is the probability that a student is a man and is in the social sciences? b.) If you know a student is a woman, what is the probability that she is in the humanities? c.) If you know a student is in the natural sciences, what is the probability that he is a man? d.) If you know a student is a man, what is the probability he is not in the humanities