Independent, dependent, mutually exclusive, mutually inclusive, and complement 11. Of the 60 students going on the soccer trip, 50 probabilities are players and 18 are left-handed. Only 6 of the 8) left-handed students are soccer players. What is A box contains 5 large blue marbles, 6 large the probability that one of the students on the trip is red marbles, 4 small blue marbles, and 7 small red a soccer player or is left-handed? marbles. If a marble is drawn at random, a) What is the probability that it is red, given that it is one of the small marbles? b) What is the probability that it is blue, given 12. There are 34 students in study hall. The that it is one of the large marbles? table shows the number of students who are studying a foreign language. What is the probability that a randomly selected student is not studying a foreign language? 9) On a certain day the chance of rain is 42% in San Francisco and 67% in Sydney. Assume that Language Number the chance of rain in the two cities is independent Spanish 20 What is the probability that it will rain in French 6 either San Francisco or Sydney? Japanese 4 b. What is the probability that it will not rain in both cities? 13) Out of 440 students in a senior class, 200 students are either varsity athletes or on the honor roll. There are 160 seniors who are varsity athletes 10) Five years after 580 high school seniors and 60 seniors who are on the honor roll. What is graduated, 300 had a college degree and 220 the probability that a randomly selected senior is were married. Half of the students with a both a varsity athlete and on the honor roll? college degree were married. a. What is the probability that a student has a college degree or is married? Tree diagram probability b. What is the probability that a student has a 14. At a particular company 58% of the college degree or is not married? employees are forty years old or over. Of those employees, 96% are enrolled in the company's retirement plan. Only 44% of the employees under forty years old are enrolled in the plan. Make a probability tree diagram and use it to find the probability that a randomly selected employee is c. What is the probability that a student does not not enrolled in a company's retirement plan. have a college degree or is married