Description 5.1. Lauren drinks a variety of soft drinks. Over the past month, she has had 15 diet colas, 4 cans of lemonade, and 6 cans of root beer in no particular order or pattern. Given this history, what is the probability that her next drink will be a diet cola? Lemonade? Root beer? What definition of probability did you use to answer this question? 5.3 Three coins are dropped on a table. List all possible outcomes in the sample space. Find the probability associated with each outcome. 5.8 Students in the new MBA class at a state university has the following specialization profile: Finance—67 Marketing—45 Operations and Supply Chain Management—51 Information Systems—18Find the probability that a student is either a finance or marketing major. Are the events finance specialization and marketing specialization mutually exclusive? If so, what assumption must be made? 5.11 Row 26 of the Excel file Census Education Data gives the number of employed persons having a specific educational level. Find the probability that an employed person has attained each of the educational levels listed in the data. Suppose that A is the event “has at least an Associate’s Degree” and B is the event “is at least a high school graduate.” Find the probabilities of these events. Are they mutually exclusive? Why or why not? Find the probability P(A or B).