Name Addition Rules for Probability Worksheet I. Determine whether these events are mutually exclusive. 1) Roll a die: get an even number and get a number less than 3 2) Roll a die: get a prime number and get an odd number 3) Roll a die: get a number greater than 3 and get a number less than 3 4) Select a student in the classroom: student has blond hair and blue eyes 5) Select a student at UGA: student is a sophemore and the student is a business majer 6) Select any high school course: the course is calculus and the course is English II. Find the following probabilities: 7) At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager. 8) Blockbuster rented the following number of movie titles in each of these categories: 170 horror: 230 drama: 120 mystery, 310 romance, and 150 comedies. If a person who rented one of the movies is selected at random, find the probability that a romance or comedy was rented. 9) A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees; and of 75 male nurses, 34 had bachelor's degrees. If a nurse is selected at random, find the probability that the nurse is a) a female nurse with a bachelor's degree b) a male nurse c) a male nurse with a bochelor's degree d) based on your answer to a, b, and c, explain which is most likely to occur. Why? 10) At a particular school with 200 male students, 58 play football, 40 play basketball and 8 play both. Find the probability that a randomly selected male student plays basketball or football. Find the probability that a randomly selected male student plays neither sport.