Pleаse nоte thаt this questiоn cоnsists of three pаrts. You need to show all mathematical calculations/explanations to get the final answer. Just giving the answer without showing work may result in zero for the question. Every year at the JSM expo, Penn State has a booth to promote the programs offered by the statistics department. Suppose that the person in charge of the booth always has the following set of free promotional items on the table for the people to pick from: 10 grocery bags 8 lunch bags 15 pens Suppose that when needed, the items are restored before next person approaches the desk, so each person picks up from this set. Assuming a person is only allowed to pick one item, what is the chance that person picks a lunch bag? Assuming a person is only allowed to pick one item, what is the chance that person picks either a grocery bag or a lunch bag? If a person is allowed to pick two items, what is the probability that person picks two lunch bags.