1) In a group of 400 college students, 154 major in physics, 85 major in history, and 161 major in business. None of these students majors in more than one subject. a) What is the probability that a student chosen at random majors in history? (5 points) b) What is the probability that a student doesn't major in business ? (5 points) 2) You are on a game show. You get asked a complicated probability question. The problem is so complicated that you have trouble calculating the correct answer. However, the host tells you it is one of the following answers: -0.3, 0.25, 1.6, and 2.8. You look at the choices and realize what the correct answer must be. a) What is the correct answer? (3 points) b) How did you know it was the correct answer? (3 points) b) Are the event 3a) You roll two dice. What is the probability that you roll an odd number on the first die and a 2 on the second die? (5 points) b) Are the events in part a independent or dependent? (2 points)