The operations manager of a cinema complex is interested in how patrons using the candy bar purchase food and drinks in various combinations. In particular, the manager wants to know the probability that a patron will purchase water and popcorn, juice and popcorn, soft drink and popcorn, and popcorn with no drink. The table lists a random sample of 730 purchase outcomes recently made by patrons. To simplify the experiment, only outcomes in which no beverage or one beverage was purchased are examined. Hence, any event in any row is mutually exclusive of any event in any other row (e.g. a single purchase could be listed as purchasing water only, but outcomes relating to a single purchase involving water and juice are not recorded). Transform this table to list probability information of purchases and use it to respond to the manager?s questions. Overall, what is the probability that popcorn will be purchased?

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Drink Water Juice Soft drink No drink Food other than No food 120 Popcorn popcorm 12 25 35 260 163 70 20